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Finding the Fourth Proportional to 566,149.43, 781,307.70 and 324,478.64

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Solution

The fourth proportional to 566,149.43, 781,307.70 and 324,478.64 is: 447,792.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,149.43 : 781,307.70 = 324,478.64 : x
  2. Step 2: Convert to fraction form
    566,149.43/781,307.70 = 324,478.64/x
  3. Step 3: Cross multiply
    566,149.43x = 781,307.70 × 324,478.64
  4. Step 4: Simplify right side
    566,149.43x = 253,517,654,388.60
  5. Step 5: Solve for x
    x = 253,517,654,388.60/566,149.43
  6. Step 6: Final answer
    x = 447,792.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.