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Finding the Fourth Proportional to 541,856.92, 812,489.10 and 430,254.04

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Solution

The fourth proportional to 541,856.92, 812,489.10 and 430,254.04 is: 645,145.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,856.92 : 812,489.10 = 430,254.04 : x
  2. Step 2: Convert to fraction form
    541,856.92/812,489.10 = 430,254.04/x
  3. Step 3: Cross multiply
    541,856.92x = 812,489.10 × 430,254.04
  4. Step 4: Simplify right side
    541,856.92x = 349,576,717,730.96
  5. Step 5: Solve for x
    x = 349,576,717,730.96/541,856.92
  6. Step 6: Final answer
    x = 645,145.80

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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.