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Finding the Fourth Proportional to 542,834.30, 814,251.45 and 462,352.70

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Solution

The fourth proportional to 542,834.30, 814,251.45 and 462,352.70 is: 693,529.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,834.30 : 814,251.45 = 462,352.70 : x
  2. Step 2: Convert to fraction form
    542,834.30/814,251.45 = 462,352.70/x
  3. Step 3: Cross multiply
    542,834.30x = 814,251.45 × 462,352.70
  4. Step 4: Simplify right side
    542,834.30x = 376,471,356,386.42
  5. Step 5: Solve for x
    x = 376,471,356,386.42/542,834.30
  6. Step 6: Final answer
    x = 693,529.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.