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Finding the Fourth Proportional to 359,487.92, 496,095.16 and 198,343.04

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Solution

The fourth proportional to 359,487.92, 496,095.16 and 198,343.04 is: 273,714.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,487.92 : 496,095.16 = 198,343.04 : x
  2. Step 2: Convert to fraction form
    359,487.92/496,095.16 = 198,343.04/x
  3. Step 3: Cross multiply
    359,487.92x = 496,095.16 × 198,343.04
  4. Step 4: Simplify right side
    359,487.92x = 98,397,022,163.69
  5. Step 5: Solve for x
    x = 98,397,022,163.69/359,487.92
  6. Step 6: Final answer
    x = 273,714.41

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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.