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Finding the Fourth Proportional to 542,005.39, 747,947.58 and 312,572.35

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Solution

The fourth proportional to 542,005.39, 747,947.58 and 312,572.35 is: 431,338.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,005.39 : 747,947.58 = 312,572.35 : x
  2. Step 2: Convert to fraction form
    542,005.39/747,947.58 = 312,572.35/x
  3. Step 3: Cross multiply
    542,005.39x = 747,947.58 × 312,572.35
  4. Step 4: Simplify right side
    542,005.39x = 233,787,732,757.41
  5. Step 5: Solve for x
    x = 233,787,732,757.41/542,005.39
  6. Step 6: Final answer
    x = 431,338.39

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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.