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Finding the Fourth Proportional to 752,691.12, 1,038,712.08 and 413,152.08

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Solution

The fourth proportional to 752,691.12, 1,038,712.08 and 413,152.08 is: 570,148.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,691.12 : 1,038,712.08 = 413,152.08 : x
  2. Step 2: Convert to fraction form
    752,691.12/1,038,712.08 = 413,152.08/x
  3. Step 3: Cross multiply
    752,691.12x = 1,038,712.08 × 413,152.08
  4. Step 4: Simplify right side
    752,691.12x = 429,146,056,373.13
  5. Step 5: Solve for x
    x = 429,146,056,373.13/752,691.12
  6. Step 6: Final answer
    x = 570,148.96

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