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Finding the Fourth Proportional to 325,609.84, 488,862.13 and 165,793.14

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Solution

The fourth proportional to 325,609.84, 488,862.13 and 165,793.14 is: 248,917.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,609.84 : 488,862.13 = 165,793.14 : x
  2. Step 2: Convert to fraction form
    325,609.84/488,862.13 = 165,793.14/x
  3. Step 3: Cross multiply
    325,609.84x = 488,862.13 × 165,793.14
  4. Step 4: Simplify right side
    325,609.84x = 81,049,987,767.03
  5. Step 5: Solve for x
    x = 81,049,987,767.03/325,609.84
  6. Step 6: Final answer
    x = 248,917.50

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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.