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Finding the Fourth Proportional to 584,193.60, 876,290.40 and 229,219.20

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Solution

The fourth proportional to 584,193.60, 876,290.40 and 229,219.20 is: 343,828.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,193.60 : 876,290.40 = 229,219.20 : x
  2. Step 2: Convert to fraction form
    584,193.60/876,290.40 = 229,219.20/x
  3. Step 3: Cross multiply
    584,193.60x = 876,290.40 × 229,219.20
  4. Step 4: Simplify right side
    584,193.60x = 200,862,584,455.68
  5. Step 5: Solve for x
    x = 200,862,584,455.68/584,193.60
  6. Step 6: Final answer
    x = 343,828.80

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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.