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Finding the Fourth Proportional to 384,902.89, 577,355.75 and 132,256.19

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Solution

The fourth proportional to 384,902.89, 577,355.75 and 132,256.19 is: 198,384.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,902.89 : 577,355.75 = 132,256.19 : x
  2. Step 2: Convert to fraction form
    384,902.89/577,355.75 = 132,256.19/x
  3. Step 3: Cross multiply
    384,902.89x = 577,355.75 × 132,256.19
  4. Step 4: Simplify right side
    384,902.89x = 76,358,873,047.66
  5. Step 5: Solve for x
    x = 76,358,873,047.66/384,902.89
  6. Step 6: Final answer
    x = 198,384.78

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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.