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Finding the Fourth Proportional to 359,201.30, 495,769.64 and 206,344.35

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Solution

The fourth proportional to 359,201.30, 495,769.64 and 206,344.35 is: 284,796.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,201.30 : 495,769.64 = 206,344.35 : x
  2. Step 2: Convert to fraction form
    359,201.30/495,769.64 = 206,344.35/x
  3. Step 3: Cross multiply
    359,201.30x = 495,769.64 × 206,344.35
  4. Step 4: Simplify right side
    359,201.30x = 102,299,263,083.81
  5. Step 5: Solve for x
    x = 102,299,263,083.81/359,201.30
  6. Step 6: Final answer
    x = 284,796.47

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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.