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Finding the Fourth Proportional to 359,682.49, 496,352.41 and 198,534.07

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Solution

The fourth proportional to 359,682.49, 496,352.41 and 198,534.07 is: 273,971.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,682.49 : 496,352.41 = 198,534.07 : x
  2. Step 2: Convert to fraction form
    359,682.49/496,352.41 = 198,534.07/x
  3. Step 3: Cross multiply
    359,682.49x = 496,352.41 × 198,534.07
  4. Step 4: Simplify right side
    359,682.49x = 98,542,864,111.61
  5. Step 5: Solve for x
    x = 98,542,864,111.61/359,682.49
  6. Step 6: Final answer
    x = 273,971.81

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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.