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Finding the Fourth Proportional to 442,633.68, 663,949.20 and 189,750.24

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Solution

The fourth proportional to 442,633.68, 663,949.20 and 189,750.24 is: 284,624.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,633.68 : 663,949.20 = 189,750.24 : x
  2. Step 2: Convert to fraction form
    442,633.68/663,949.20 = 189,750.24/x
  3. Step 3: Cross multiply
    442,633.68x = 663,949.20 × 189,750.24
  4. Step 4: Simplify right side
    442,633.68x = 125,984,520,047.81
  5. Step 5: Solve for x
    x = 125,984,520,047.81/442,633.68
  6. Step 6: Final answer
    x = 284,624.79

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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.