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Finding the Fourth Proportional to 334,956.45, 502,508.49 and 185,414.86

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Solution

The fourth proportional to 334,956.45, 502,508.49 and 185,414.86 is: 278,163.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,956.45 : 502,508.49 = 185,414.86 : x
  2. Step 2: Convert to fraction form
    334,956.45/502,508.49 = 185,414.86/x
  3. Step 3: Cross multiply
    334,956.45x = 502,508.49 × 185,414.86
  4. Step 4: Simplify right side
    334,956.45x = 93,172,541,322.16
  5. Step 5: Solve for x
    x = 93,172,541,322.16/334,956.45
  6. Step 6: Final answer
    x = 278,163.15

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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.