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Finding the Fourth Proportional to 493,244.52, 680,691.12 and 299,586.84

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Solution

The fourth proportional to 493,244.52, 680,691.12 and 299,586.84 is: 413,438.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,244.52 : 680,691.12 = 299,586.84 : x
  2. Step 2: Convert to fraction form
    493,244.52/680,691.12 = 299,586.84/x
  3. Step 3: Cross multiply
    493,244.52x = 680,691.12 × 299,586.84
  4. Step 4: Simplify right side
    493,244.52x = 203,926,101,656.86
  5. Step 5: Solve for x
    x = 203,926,101,656.86/493,244.52
  6. Step 6: Final answer
    x = 413,438.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.