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Finding the Fourth Proportional to 359,786.92, 496,506.72 and 198,642.28

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Solution

The fourth proportional to 359,786.92, 496,506.72 and 198,642.28 is: 274,126.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,786.92 : 496,506.72 = 198,642.28 : x
  2. Step 2: Convert to fraction form
    359,786.92/496,506.72 = 198,642.28/x
  3. Step 3: Cross multiply
    359,786.92x = 496,506.72 × 198,642.28
  4. Step 4: Simplify right side
    359,786.92x = 98,627,226,896.12
  5. Step 5: Solve for x
    x = 98,627,226,896.12/359,786.92
  6. Step 6: Final answer
    x = 274,126.77

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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.