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Finding the Fourth Proportional to 359,220.41, 495,757.43 and 206,278.64

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Solution

The fourth proportional to 359,220.41, 495,757.43 and 206,278.64 is: 284,683.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,220.41 : 495,757.43 = 206,278.64 : x
  2. Step 2: Convert to fraction form
    359,220.41/495,757.43 = 206,278.64/x
  3. Step 3: Cross multiply
    359,220.41x = 495,757.43 × 206,278.64
  4. Step 4: Simplify right side
    359,220.41x = 102,264,164,920.12
  5. Step 5: Solve for x
    x = 102,264,164,920.12/359,220.41
  6. Step 6: Final answer
    x = 284,683.62

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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.