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Finding the Fourth Proportional to 381,432.64, 572,177.04 and 100,948

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Solution

The fourth proportional to 381,432.64, 572,177.04 and 100,948 is: 151,429.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,432.64 : 572,177.04 = 100,948 : x
  2. Step 2: Convert to fraction form
    381,432.64/572,177.04 = 100,948/x
  3. Step 3: Cross multiply
    381,432.64x = 572,177.04 × 100,948
  4. Step 4: Simplify right side
    381,432.64x = 57,760,127,833.92
  5. Step 5: Solve for x
    x = 57,760,127,833.92/381,432.64
  6. Step 6: Final answer
    x = 151,429.43

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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.