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Finding the Fourth Proportional to 542,193.14, 812,541.72 and 391,230.56

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Solution

The fourth proportional to 542,193.14, 812,541.72 and 391,230.56 is: 586,306.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,193.14 : 812,541.72 = 391,230.56 : x
  2. Step 2: Convert to fraction form
    542,193.14/812,541.72 = 391,230.56/x
  3. Step 3: Cross multiply
    542,193.14x = 812,541.72 × 391,230.56
  4. Step 4: Simplify right side
    542,193.14x = 317,891,152,138.96
  5. Step 5: Solve for x
    x = 317,891,152,138.96/542,193.14
  6. Step 6: Final answer
    x = 586,306.11

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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.