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Finding the Fourth Proportional to 359,298.38, 495,814.96 and 206,230.26

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Solution

The fourth proportional to 359,298.38, 495,814.96 and 206,230.26 is: 284,588.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,298.38 : 495,814.96 = 206,230.26 : x
  2. Step 2: Convert to fraction form
    359,298.38/495,814.96 = 206,230.26/x
  3. Step 3: Cross multiply
    359,298.38x = 495,814.96 × 206,230.26
  4. Step 4: Simplify right side
    359,298.38x = 102,252,048,112.69
  5. Step 5: Solve for x
    x = 102,252,048,112.69/359,298.38
  6. Step 6: Final answer
    x = 284,588.11

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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.