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Finding the Fourth Proportional to 359,744.72, 496,451.75 and 198,599.87

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Solution

The fourth proportional to 359,744.72, 496,451.75 and 198,599.87 is: 274,070.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,744.72 : 496,451.75 = 198,599.87 : x
  2. Step 2: Convert to fraction form
    359,744.72/496,451.75 = 198,599.87/x
  3. Step 3: Cross multiply
    359,744.72x = 496,451.75 × 198,599.87
  4. Step 4: Simplify right side
    359,744.72x = 98,595,253,011.27
  5. Step 5: Solve for x
    x = 98,595,253,011.27/359,744.72
  6. Step 6: Final answer
    x = 274,070.05

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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.