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Finding the Fourth Proportional to 474,276.52, 711,416 and 193,793.77

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Solution

The fourth proportional to 474,276.52, 711,416 and 193,793.77 is: 290,691.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,276.52 : 711,416 = 193,793.77 : x
  2. Step 2: Convert to fraction form
    474,276.52/711,416 = 193,793.77/x
  3. Step 3: Cross multiply
    474,276.52x = 711,416 × 193,793.77
  4. Step 4: Simplify right side
    474,276.52x = 137,867,988,678.32
  5. Step 5: Solve for x
    x = 137,867,988,678.32/474,276.52
  6. Step 6: Final answer
    x = 290,691.15

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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.