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Finding the Fourth Proportional to 283,805.70, 391,446.03 and 193,000.26

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Solution

The fourth proportional to 283,805.70, 391,446.03 and 193,000.26 is: 266,200.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,805.70 : 391,446.03 = 193,000.26 : x
  2. Step 2: Convert to fraction form
    283,805.70/391,446.03 = 193,000.26/x
  3. Step 3: Cross multiply
    283,805.70x = 391,446.03 × 193,000.26
  4. Step 4: Simplify right side
    283,805.70x = 75,549,185,565.97
  5. Step 5: Solve for x
    x = 75,549,185,565.97/283,805.70
  6. Step 6: Final answer
    x = 266,200.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.