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Finding the Fourth Proportional to 474,016.92, 711,002.88 and 119,023.08

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Solution

The fourth proportional to 474,016.92, 711,002.88 and 119,023.08 is: 178,528.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,016.92 : 711,002.88 = 119,023.08 : x
  2. Step 2: Convert to fraction form
    474,016.92/711,002.88 = 119,023.08/x
  3. Step 3: Cross multiply
    474,016.92x = 711,002.88 × 119,023.08
  4. Step 4: Simplify right side
    474,016.92x = 84,625,752,666.47
  5. Step 5: Solve for x
    x = 84,625,752,666.47/474,016.92
  6. Step 6: Final answer
    x = 178,528.97

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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.