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Finding the Fourth Proportional to 359,221.14, 495,758.46 and 206,279.40

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Solution

The fourth proportional to 359,221.14, 495,758.46 and 206,279.40 is: 284,684.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,221.14 : 495,758.46 = 206,279.40 : x
  2. Step 2: Convert to fraction form
    359,221.14/495,758.46 = 206,279.40/x
  3. Step 3: Cross multiply
    359,221.14x = 495,758.46 × 206,279.40
  4. Step 4: Simplify right side
    359,221.14x = 102,264,757,673.72
  5. Step 5: Solve for x
    x = 102,264,757,673.72/359,221.14
  6. Step 6: Final answer
    x = 284,684.69

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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.