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Finding the Fourth Proportional to 661,709.60, 992,564.40 and 409,767.20

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Solution

The fourth proportional to 661,709.60, 992,564.40 and 409,767.20 is: 614,650.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,709.60 : 992,564.40 = 409,767.20 : x
  2. Step 2: Convert to fraction form
    661,709.60/992,564.40 = 409,767.20/x
  3. Step 3: Cross multiply
    661,709.60x = 992,564.40 × 409,767.20
  4. Step 4: Simplify right side
    661,709.60x = 406,720,335,007.68
  5. Step 5: Solve for x
    x = 406,720,335,007.68/661,709.60
  6. Step 6: Final answer
    x = 614,650.80

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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.