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Finding the Fourth Proportional to 398,424.25, 597,753.42 and 117,948.79

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Solution

The fourth proportional to 398,424.25, 597,753.42 and 117,948.79 is: 176,957.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,424.25 : 597,753.42 = 117,948.79 : x
  2. Step 2: Convert to fraction form
    398,424.25/597,753.42 = 117,948.79/x
  3. Step 3: Cross multiply
    398,424.25x = 597,753.42 × 117,948.79
  4. Step 4: Simplify right side
    398,424.25x = 70,504,292,607.36
  5. Step 5: Solve for x
    x = 70,504,292,607.36/398,424.25
  6. Step 6: Final answer
    x = 176,957.83

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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.