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Finding the Fourth Proportional to 651,410.80, 977,116.20 and 491,743.60

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Solution

The fourth proportional to 651,410.80, 977,116.20 and 491,743.60 is: 737,615.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,410.80 : 977,116.20 = 491,743.60 : x
  2. Step 2: Convert to fraction form
    651,410.80/977,116.20 = 491,743.60/x
  3. Step 3: Cross multiply
    651,410.80x = 977,116.20 × 491,743.60
  4. Step 4: Simplify right side
    651,410.80x = 480,490,637,806.32
  5. Step 5: Solve for x
    x = 480,490,637,806.32/651,410.80
  6. Step 6: Final answer
    x = 737,615.40

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.