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Finding the Fourth Proportional to 465,129.80, 697,694.70 and 165,948.20

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Solution

The fourth proportional to 465,129.80, 697,694.70 and 165,948.20 is: 248,922.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,129.80 : 697,694.70 = 165,948.20 : x
  2. Step 2: Convert to fraction form
    465,129.80/697,694.70 = 165,948.20/x
  3. Step 3: Cross multiply
    465,129.80x = 697,694.70 × 165,948.20
  4. Step 4: Simplify right side
    465,129.80x = 115,781,179,614.54
  5. Step 5: Solve for x
    x = 115,781,179,614.54/465,129.80
  6. Step 6: Final answer
    x = 248,922.30

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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.