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Finding the Fourth Proportional to 311,244.85, 466,876.32 and 121,697.56

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Solution

The fourth proportional to 311,244.85, 466,876.32 and 121,697.56 is: 182,549.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,244.85 : 466,876.32 = 121,697.56 : x
  2. Step 2: Convert to fraction form
    311,244.85/466,876.32 = 121,697.56/x
  3. Step 3: Cross multiply
    311,244.85x = 466,876.32 × 121,697.56
  4. Step 4: Simplify right side
    311,244.85x = 56,817,708,965.78
  5. Step 5: Solve for x
    x = 56,817,708,965.78/311,244.85
  6. Step 6: Final answer
    x = 182,549.88

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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.