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Finding the Fourth Proportional to 381,805.90, 572,708.85 and 194,793.10

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Solution

The fourth proportional to 381,805.90, 572,708.85 and 194,793.10 is: 292,189.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,805.90 : 572,708.85 = 194,793.10 : x
  2. Step 2: Convert to fraction form
    381,805.90/572,708.85 = 194,793.10/x
  3. Step 3: Cross multiply
    381,805.90x = 572,708.85 × 194,793.10
  4. Step 4: Simplify right side
    381,805.90x = 111,559,732,288.94
  5. Step 5: Solve for x
    x = 111,559,732,288.94/381,805.90
  6. Step 6: Final answer
    x = 292,189.65

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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.