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Finding the Fourth Proportional to 359,273.16, 495,800.46 and 206,309.52

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Solution

The fourth proportional to 359,273.16, 495,800.46 and 206,309.52 is: 284,709.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,273.16 : 495,800.46 = 206,309.52 : x
  2. Step 2: Convert to fraction form
    359,273.16/495,800.46 = 206,309.52/x
  3. Step 3: Cross multiply
    359,273.16x = 495,800.46 × 206,309.52
  4. Step 4: Simplify right side
    359,273.16x = 102,288,354,918.38
  5. Step 5: Solve for x
    x = 102,288,354,918.38/359,273.16
  6. Step 6: Final answer
    x = 284,709.15

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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.