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Finding the Fourth Proportional to 359,776.92, 496,492.91 and 198,632.28

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Solution

The fourth proportional to 359,776.92, 496,492.91 and 198,632.28 is: 274,112.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,776.92 : 496,492.91 = 198,632.28 : x
  2. Step 2: Convert to fraction form
    359,776.92/496,492.91 = 198,632.28/x
  3. Step 3: Cross multiply
    359,776.92x = 496,492.91 × 198,632.28
  4. Step 4: Simplify right side
    359,776.92x = 98,619,520,330.69
  5. Step 5: Solve for x
    x = 98,619,520,330.69/359,776.92
  6. Step 6: Final answer
    x = 274,112.97

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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.