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Finding the Fourth Proportional to 542,825.52, 813,479.76 and 462,444.72

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Solution

The fourth proportional to 542,825.52, 813,479.76 and 462,444.72 is: 693,020.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,825.52 : 813,479.76 = 462,444.72 : x
  2. Step 2: Convert to fraction form
    542,825.52/813,479.76 = 462,444.72/x
  3. Step 3: Cross multiply
    542,825.52x = 813,479.76 × 462,444.72
  4. Step 4: Simplify right side
    542,825.52x = 376,189,419,838.87
  5. Step 5: Solve for x
    x = 376,189,419,838.87/542,825.52
  6. Step 6: Final answer
    x = 693,020.88

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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.