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Finding the Fourth Proportional to 474,158.61, 711,534.38 and 193,675.86

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Solution

The fourth proportional to 474,158.61, 711,534.38 and 193,675.86 is: 290,634.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,158.61 : 711,534.38 = 193,675.86 : x
  2. Step 2: Convert to fraction form
    474,158.61/711,534.38 = 193,675.86/x
  3. Step 3: Cross multiply
    474,158.61x = 711,534.38 × 193,675.86
  4. Step 4: Simplify right side
    474,158.61x = 137,807,031,997.69
  5. Step 5: Solve for x
    x = 137,807,031,997.69/474,158.61
  6. Step 6: Final answer
    x = 290,634.88

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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.