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Finding the Fourth Proportional to 442,568.40, 663,951.30 and 127,000.71

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Solution

The fourth proportional to 442,568.40, 663,951.30 and 127,000.71 is: 190,529.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,568.40 : 663,951.30 = 127,000.71 : x
  2. Step 2: Convert to fraction form
    442,568.40/663,951.30 = 127,000.71/x
  3. Step 3: Cross multiply
    442,568.40x = 663,951.30 × 127,000.71
  4. Step 4: Simplify right side
    442,568.40x = 84,322,286,505.42
  5. Step 5: Solve for x
    x = 84,322,286,505.42/442,568.40
  6. Step 6: Final answer
    x = 190,529.39

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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.