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Finding the Fourth Proportional to 359,892.64, 496,648.92 and 198,758.56

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Solution

The fourth proportional to 359,892.64, 496,648.92 and 198,758.56 is: 274,285.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,892.64 : 496,648.92 = 198,758.56 : x
  2. Step 2: Convert to fraction form
    359,892.64/496,648.92 = 198,758.56/x
  3. Step 3: Cross multiply
    359,892.64x = 496,648.92 × 198,758.56
  4. Step 4: Simplify right side
    359,892.64x = 98,713,224,164.76
  5. Step 5: Solve for x
    x = 98,713,224,164.76/359,892.64
  6. Step 6: Final answer
    x = 274,285.20

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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.