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Finding the Fourth Proportional to 363,108.06, 500,966.10 and 259,654.86

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Solution

The fourth proportional to 363,108.06, 500,966.10 and 259,654.86 is: 358,235.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,108.06 : 500,966.10 = 259,654.86 : x
  2. Step 2: Convert to fraction form
    363,108.06/500,966.10 = 259,654.86/x
  3. Step 3: Cross multiply
    363,108.06x = 500,966.10 × 259,654.86
  4. Step 4: Simplify right side
    363,108.06x = 130,078,282,560.25
  5. Step 5: Solve for x
    x = 130,078,282,560.25/363,108.06
  6. Step 6: Final answer
    x = 358,235.73

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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.