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Finding the Fourth Proportional to 359,204.30, 495,773.78 and 206,347.35

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Solution

The fourth proportional to 359,204.30, 495,773.78 and 206,347.35 is: 284,800.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,204.30 : 495,773.78 = 206,347.35 : x
  2. Step 2: Convert to fraction form
    359,204.30/495,773.78 = 206,347.35/x
  3. Step 3: Cross multiply
    359,204.30x = 495,773.78 × 206,347.35
  4. Step 4: Simplify right side
    359,204.30x = 102,301,605,702.48
  5. Step 5: Solve for x
    x = 102,301,605,702.48/359,204.30
  6. Step 6: Final answer
    x = 284,800.62

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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.