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Finding the Fourth Proportional to 359,270.84, 495,793.54 and 206,319.04

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Solution

The fourth proportional to 359,270.84, 495,793.54 and 206,319.04 is: 284,720.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,270.84 : 495,793.54 = 206,319.04 : x
  2. Step 2: Convert to fraction form
    359,270.84/495,793.54 = 206,319.04/x
  3. Step 3: Cross multiply
    359,270.84x = 495,793.54 × 206,319.04
  4. Step 4: Simplify right side
    359,270.84x = 102,291,647,211.00
  5. Step 5: Solve for x
    x = 102,291,647,211.00/359,270.84
  6. Step 6: Final answer
    x = 284,720.15

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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.