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Finding the Fourth Proportional to 359,218.41, 495,754.66 and 206,276.64

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Solution

The fourth proportional to 359,218.41, 495,754.66 and 206,276.64 is: 284,680.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,218.41 : 495,754.66 = 206,276.64 : x
  2. Step 2: Convert to fraction form
    359,218.41/495,754.66 = 206,276.64/x
  3. Step 3: Cross multiply
    359,218.41x = 495,754.66 × 206,276.64
  4. Step 4: Simplify right side
    359,218.41x = 102,262,605,529.14
  5. Step 5: Solve for x
    x = 102,262,605,529.14/359,218.41
  6. Step 6: Final answer
    x = 284,680.86

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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.