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Finding the Fourth Proportional to 474,691.70, 712,299.63 and 194,405.30

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Solution

The fourth proportional to 474,691.70, 712,299.63 and 194,405.30 is: 291,715.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,691.70 : 712,299.63 = 194,405.30 : x
  2. Step 2: Convert to fraction form
    474,691.70/712,299.63 = 194,405.30/x
  3. Step 3: Cross multiply
    474,691.70x = 712,299.63 × 194,405.30
  4. Step 4: Simplify right side
    474,691.70x = 138,474,823,260.04
  5. Step 5: Solve for x
    x = 138,474,823,260.04/474,691.70
  6. Step 6: Final answer
    x = 291,715.28

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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.