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Finding the Fourth Proportional to 313,104.80, 469,632.24 and 88,456.16

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Solution

The fourth proportional to 313,104.80, 469,632.24 and 88,456.16 is: 132,677.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,104.80 : 469,632.24 = 88,456.16 : x
  2. Step 2: Convert to fraction form
    313,104.80/469,632.24 = 88,456.16/x
  3. Step 3: Cross multiply
    313,104.80x = 469,632.24 × 88,456.16
  4. Step 4: Simplify right side
    313,104.80x = 41,541,864,562.60
  5. Step 5: Solve for x
    x = 41,541,864,562.60/313,104.80
  6. Step 6: Final answer
    x = 132,677.19

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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.