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Finding the Fourth Proportional to 359,984.32, 496,809.14 and 198,856.96

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Solution

The fourth proportional to 359,984.32, 496,809.14 and 198,856.96 is: 274,439.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,984.32 : 496,809.14 = 198,856.96 : x
  2. Step 2: Convert to fraction form
    359,984.32/496,809.14 = 198,856.96/x
  3. Step 3: Cross multiply
    359,984.32x = 496,809.14 × 198,856.96
  4. Step 4: Simplify right side
    359,984.32x = 98,793,955,280.61
  5. Step 5: Solve for x
    x = 98,793,955,280.61/359,984.32
  6. Step 6: Final answer
    x = 274,439.61

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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.