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Finding the Fourth Proportional to 357,753.80, 493,698.63 and 204,791.15

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Solution

The fourth proportional to 357,753.80, 493,698.63 and 204,791.15 is: 282,610.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,753.80 : 493,698.63 = 204,791.15 : x
  2. Step 2: Convert to fraction form
    357,753.80/493,698.63 = 204,791.15/x
  3. Step 3: Cross multiply
    357,753.80x = 493,698.63 × 204,791.15
  4. Step 4: Simplify right side
    357,753.80x = 101,105,110,191.13
  5. Step 5: Solve for x
    x = 101,105,110,191.13/357,753.80
  6. Step 6: Final answer
    x = 282,610.86

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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.