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Finding the Fourth Proportional to 325,833.90, 488,532.15 and 157,434.90

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Solution

The fourth proportional to 325,833.90, 488,532.15 and 157,434.90 is: 236,046.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,833.90 : 488,532.15 = 157,434.90 : x
  2. Step 2: Convert to fraction form
    325,833.90/488,532.15 = 157,434.90/x
  3. Step 3: Cross multiply
    325,833.90x = 488,532.15 × 157,434.90
  4. Step 4: Simplify right side
    325,833.90x = 76,912,010,182.04
  5. Step 5: Solve for x
    x = 76,912,010,182.04/325,833.90
  6. Step 6: Final answer
    x = 236,046.68

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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.