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Finding the Fourth Proportional to 359,339.30, 495,887.24 and 206,387.42

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Solution

The fourth proportional to 359,339.30, 495,887.24 and 206,387.42 is: 284,814.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,339.30 : 495,887.24 = 206,387.42 : x
  2. Step 2: Convert to fraction form
    359,339.30/495,887.24 = 206,387.42/x
  3. Step 3: Cross multiply
    359,339.30x = 495,887.24 × 206,387.42
  4. Step 4: Simplify right side
    359,339.30x = 102,344,888,074.52
  5. Step 5: Solve for x
    x = 102,344,888,074.52/359,339.30
  6. Step 6: Final answer
    x = 284,814.07

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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.