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Finding the Fourth Proportional to 363,906.10, 546,053.55 and 164,257.30

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Solution

The fourth proportional to 363,906.10, 546,053.55 and 164,257.30 is: 246,473.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,906.10 : 546,053.55 = 164,257.30 : x
  2. Step 2: Convert to fraction form
    363,906.10/546,053.55 = 164,257.30/x
  3. Step 3: Cross multiply
    363,906.10x = 546,053.55 × 164,257.30
  4. Step 4: Simplify right side
    363,906.10x = 89,693,281,778.42
  5. Step 5: Solve for x
    x = 89,693,281,778.42/363,906.10
  6. Step 6: Final answer
    x = 246,473.70

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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.