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Finding the Fourth Proportional to 383,002.38, 574,542.90 and 146,543.94

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Solution

The fourth proportional to 383,002.38, 574,542.90 and 146,543.94 is: 219,830.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,002.38 : 574,542.90 = 146,543.94 : x
  2. Step 2: Convert to fraction form
    383,002.38/574,542.90 = 146,543.94/x
  3. Step 3: Cross multiply
    383,002.38x = 574,542.90 × 146,543.94
  4. Step 4: Simplify right side
    383,002.38x = 84,195,780,265.03
  5. Step 5: Solve for x
    x = 84,195,780,265.03/383,002.38
  6. Step 6: Final answer
    x = 219,830.96

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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.