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Finding the Fourth Proportional to 647,608.60, 971,412.90 and 411,412.60

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Solution

The fourth proportional to 647,608.60, 971,412.90 and 411,412.60 is: 617,118.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,608.60 : 971,412.90 = 411,412.60 : x
  2. Step 2: Convert to fraction form
    647,608.60/971,412.90 = 411,412.60/x
  3. Step 3: Cross multiply
    647,608.60x = 971,412.90 × 411,412.60
  4. Step 4: Simplify right side
    647,608.60x = 399,651,506,862.54
  5. Step 5: Solve for x
    x = 399,651,506,862.54/647,608.60
  6. Step 6: Final answer
    x = 617,118.90

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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.