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Finding the Fourth Proportional to 359,201.55, 495,769.98 and 206,344.60

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Solution

The fourth proportional to 359,201.55, 495,769.98 and 206,344.60 is: 284,796.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,201.55 : 495,769.98 = 206,344.60 : x
  2. Step 2: Convert to fraction form
    359,201.55/495,769.98 = 206,344.60/x
  3. Step 3: Cross multiply
    359,201.55x = 495,769.98 × 206,344.60
  4. Step 4: Simplify right side
    359,201.55x = 102,299,458,215.11
  5. Step 5: Solve for x
    x = 102,299,458,215.11/359,201.55
  6. Step 6: Final answer
    x = 284,796.82

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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.