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Finding the Fourth Proportional to 334,023.70, 499,869.15 and 233,713.30

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Solution

The fourth proportional to 334,023.70, 499,869.15 and 233,713.30 is: 349,753.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,023.70 : 499,869.15 = 233,713.30 : x
  2. Step 2: Convert to fraction form
    334,023.70/499,869.15 = 233,713.30/x
  3. Step 3: Cross multiply
    334,023.70x = 499,869.15 × 233,713.30
  4. Step 4: Simplify right side
    334,023.70x = 116,826,068,614.70
  5. Step 5: Solve for x
    x = 116,826,068,614.70/334,023.70
  6. Step 6: Final answer
    x = 349,753.83

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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.