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Finding the Fourth Proportional to 359,116.64, 495,625.84 and 206,202.71

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Solution

The fourth proportional to 359,116.64, 495,625.84 and 206,202.71 is: 284,585.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,116.64 : 495,625.84 = 206,202.71 : x
  2. Step 2: Convert to fraction form
    359,116.64/495,625.84 = 206,202.71/x
  3. Step 3: Cross multiply
    359,116.64x = 495,625.84 × 206,202.71
  4. Step 4: Simplify right side
    359,116.64x = 102,199,392,077.58
  5. Step 5: Solve for x
    x = 102,199,392,077.58/359,116.64
  6. Step 6: Final answer
    x = 284,585.51

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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.