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Finding the Fourth Proportional to 474,965.40, 711,843.30 and 194,165.40

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Solution

The fourth proportional to 474,965.40, 711,843.30 and 194,165.40 is: 291,000.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,965.40 : 711,843.30 = 194,165.40 : x
  2. Step 2: Convert to fraction form
    474,965.40/711,843.30 = 194,165.40/x
  3. Step 3: Cross multiply
    474,965.40x = 711,843.30 × 194,165.40
  4. Step 4: Simplify right side
    474,965.40x = 138,215,339,081.82
  5. Step 5: Solve for x
    x = 138,215,339,081.82/474,965.40
  6. Step 6: Final answer
    x = 291,000.86

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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.