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Finding the Fourth Proportional to 260,460, 390,691.92 and 63,468

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Solution

The fourth proportional to 260,460, 390,691.92 and 63,468 is: 95,202.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,460 : 390,691.92 = 63,468 : x
  2. Step 2: Convert to fraction form
    260,460/390,691.92 = 63,468/x
  3. Step 3: Cross multiply
    260,460x = 390,691.92 × 63,468
  4. Step 4: Simplify right side
    260,460x = 24,796,434,778.56
  5. Step 5: Solve for x
    x = 24,796,434,778.56/260,460
  6. Step 6: Final answer
    x = 95,202.47

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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.