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Finding the Fourth Proportional to 469,593.92, 704,378.28 and 132,657.80

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Solution

The fourth proportional to 469,593.92, 704,378.28 and 132,657.80 is: 198,983.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,593.92 : 704,378.28 = 132,657.80 : x
  2. Step 2: Convert to fraction form
    469,593.92/704,378.28 = 132,657.80/x
  3. Step 3: Cross multiply
    469,593.92x = 704,378.28 × 132,657.80
  4. Step 4: Simplify right side
    469,593.92x = 93,441,272,992.58
  5. Step 5: Solve for x
    x = 93,441,272,992.58/469,593.92
  6. Step 6: Final answer
    x = 198,983.14

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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.