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Finding the Fourth Proportional to 474,932.40, 711,793.80 and 194,132.40

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Solution

The fourth proportional to 474,932.40, 711,793.80 and 194,132.40 is: 290,951.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,932.40 : 711,793.80 = 194,132.40 : x
  2. Step 2: Convert to fraction form
    474,932.40/711,793.80 = 194,132.40/x
  3. Step 3: Cross multiply
    474,932.40x = 711,793.80 × 194,132.40
  4. Step 4: Simplify right side
    474,932.40x = 138,182,238,699.12
  5. Step 5: Solve for x
    x = 138,182,238,699.12/474,932.40
  6. Step 6: Final answer
    x = 290,951.38

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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.