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Finding the Fourth Proportional to 359,429.89, 496,011.84 and 198,294.97

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Solution

The fourth proportional to 359,429.89, 496,011.84 and 198,294.97 is: 273,646.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,429.89 : 496,011.84 = 198,294.97 : x
  2. Step 2: Convert to fraction form
    359,429.89/496,011.84 = 198,294.97/x
  3. Step 3: Cross multiply
    359,429.89x = 496,011.84 × 198,294.97
  4. Step 4: Simplify right side
    359,429.89x = 98,356,652,932.44
  5. Step 5: Solve for x
    x = 98,356,652,932.44/359,429.89
  6. Step 6: Final answer
    x = 273,646.28

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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.