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Finding the Fourth Proportional to 359,930.92, 496,708.41 and 198,790.06

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Solution

The fourth proportional to 359,930.92, 496,708.41 and 198,790.06 is: 274,332.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,930.92 : 496,708.41 = 198,790.06 : x
  2. Step 2: Convert to fraction form
    359,930.92/496,708.41 = 198,790.06/x
  3. Step 3: Cross multiply
    359,930.92x = 496,708.41 × 198,790.06
  4. Step 4: Simplify right side
    359,930.92x = 98,740,694,626.40
  5. Step 5: Solve for x
    x = 98,740,694,626.40/359,930.92
  6. Step 6: Final answer
    x = 274,332.35

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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.