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Finding the Fourth Proportional to 359,871.88, 496,623.06 and 198,727.24

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Solution

The fourth proportional to 359,871.88, 496,623.06 and 198,727.24 is: 274,243.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,871.88 : 496,623.06 = 198,727.24 : x
  2. Step 2: Convert to fraction form
    359,871.88/496,623.06 = 198,727.24/x
  3. Step 3: Cross multiply
    359,871.88x = 496,623.06 × 198,727.24
  4. Step 4: Simplify right side
    359,871.88x = 98,692,530,034.15
  5. Step 5: Solve for x
    x = 98,692,530,034.15/359,871.88
  6. Step 6: Final answer
    x = 274,243.52

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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.