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Finding the Fourth Proportional to 442,349.00, 663,414.14 and 189,600.83

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Solution

The fourth proportional to 442,349.00, 663,414.14 and 189,600.83 is: 284,354.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,349.00 : 663,414.14 = 189,600.83 : x
  2. Step 2: Convert to fraction form
    442,349.00/663,414.14 = 189,600.83/x
  3. Step 3: Cross multiply
    442,349.00x = 663,414.14 × 189,600.83
  4. Step 4: Simplify right side
    442,349.00x = 125,783,868,734.67
  5. Step 5: Solve for x
    x = 125,783,868,734.67/442,349.00
  6. Step 6: Final answer
    x = 284,354.37

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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.