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Finding the Fourth Proportional to 359,884.96, 496,635.52 and 198,736

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Solution

The fourth proportional to 359,884.96, 496,635.52 and 198,736 is: 274,252.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,884.96 : 496,635.52 = 198,736 : x
  2. Step 2: Convert to fraction form
    359,884.96/496,635.52 = 198,736/x
  3. Step 3: Cross multiply
    359,884.96x = 496,635.52 × 198,736
  4. Step 4: Simplify right side
    359,884.96x = 98,699,356,702.72
  5. Step 5: Solve for x
    x = 98,699,356,702.72/359,884.96
  6. Step 6: Final answer
    x = 274,252.52

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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.