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Finding the Fourth Proportional to 359,215.91, 495,751.21 and 206,274.14

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Solution

The fourth proportional to 359,215.91, 495,751.21 and 206,274.14 is: 284,677.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,215.91 : 495,751.21 = 206,274.14 : x
  2. Step 2: Convert to fraction form
    359,215.91/495,751.21 = 206,274.14/x
  3. Step 3: Cross multiply
    359,215.91x = 495,751.21 × 206,274.14
  4. Step 4: Simplify right side
    359,215.91x = 102,260,651,502.27
  5. Step 5: Solve for x
    x = 102,260,651,502.27/359,215.91
  6. Step 6: Final answer
    x = 284,677.40

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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.