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Finding the Fourth Proportional to 474,276.65, 711,416.18 and 193,793.90

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Solution

The fourth proportional to 474,276.65, 711,416.18 and 193,793.90 is: 290,691.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,276.65 : 711,416.18 = 193,793.90 : x
  2. Step 2: Convert to fraction form
    474,276.65/711,416.18 = 193,793.90/x
  3. Step 3: Cross multiply
    474,276.65x = 711,416.18 × 193,793.90
  4. Step 4: Simplify right side
    474,276.65x = 137,868,112,972.71
  5. Step 5: Solve for x
    x = 137,868,112,972.71/474,276.65
  6. Step 6: Final answer
    x = 290,691.34

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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.