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Finding the Fourth Proportional to 474,272.71, 711,410.28 and 193,789.96

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Solution

The fourth proportional to 474,272.71, 711,410.28 and 193,789.96 is: 290,685.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,272.71 : 711,410.28 = 193,789.96 : x
  2. Step 2: Convert to fraction form
    474,272.71/711,410.28 = 193,789.96/x
  3. Step 3: Cross multiply
    474,272.71x = 711,410.28 × 193,789.96
  4. Step 4: Simplify right side
    474,272.71x = 137,864,169,704.79
  5. Step 5: Solve for x
    x = 137,864,169,704.79/474,272.71
  6. Step 6: Final answer
    x = 290,685.44

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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.