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Finding the Fourth Proportional to 752,304.96, 1,038,199.95 and 412,773.12

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Solution

The fourth proportional to 752,304.96, 1,038,199.95 and 412,773.12 is: 569,637.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,304.96 : 1,038,199.95 = 412,773.12 : x
  2. Step 2: Convert to fraction form
    752,304.96/1,038,199.95 = 412,773.12/x
  3. Step 3: Cross multiply
    752,304.96x = 1,038,199.95 × 412,773.12
  4. Step 4: Simplify right side
    752,304.96x = 428,541,032,545.34
  5. Step 5: Solve for x
    x = 428,541,032,545.34/752,304.96
  6. Step 6: Final answer
    x = 569,637.39

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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.