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Finding the Fourth Proportional to 542,032.32, 813,237.12 and 242,544.52

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Solution

The fourth proportional to 542,032.32, 813,237.12 and 242,544.52 is: 363,901.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,032.32 : 813,237.12 = 242,544.52 : x
  2. Step 2: Convert to fraction form
    542,032.32/813,237.12 = 242,544.52/x
  3. Step 3: Cross multiply
    542,032.32x = 813,237.12 × 242,544.52
  4. Step 4: Simplify right side
    542,032.32x = 197,246,206,916.58
  5. Step 5: Solve for x
    x = 197,246,206,916.58/542,032.32
  6. Step 6: Final answer
    x = 363,901.19

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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.