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Finding the Fourth Proportional to 415,542.80, 623,314.20 and 412,918.40

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Solution

The fourth proportional to 415,542.80, 623,314.20 and 412,918.40 is: 619,377.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,542.80 : 623,314.20 = 412,918.40 : x
  2. Step 2: Convert to fraction form
    415,542.80/623,314.20 = 412,918.40/x
  3. Step 3: Cross multiply
    415,542.80x = 623,314.20 × 412,918.40
  4. Step 4: Simplify right side
    415,542.80x = 257,377,902,161.28
  5. Step 5: Solve for x
    x = 257,377,902,161.28/415,542.80
  6. Step 6: Final answer
    x = 619,377.60

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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.