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Finding the Fourth Proportional to 359,981.10, 496,804.62 and 198,853.74

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Solution

The fourth proportional to 359,981.10, 496,804.62 and 198,853.74 is: 274,435.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,981.10 : 496,804.62 = 198,853.74 : x
  2. Step 2: Convert to fraction form
    359,981.10/496,804.62 = 198,853.74/x
  3. Step 3: Cross multiply
    359,981.10x = 496,804.62 × 198,853.74
  4. Step 4: Simplify right side
    359,981.10x = 98,791,456,736.28
  5. Step 5: Solve for x
    x = 98,791,456,736.28/359,981.10
  6. Step 6: Final answer
    x = 274,435.12

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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.