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Finding the Fourth Proportional to 359,315.06, 495,884.57 and 206,382.76

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Solution

The fourth proportional to 359,315.06, 495,884.57 and 206,382.76 is: 284,825.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,315.06 : 495,884.57 = 206,382.76 : x
  2. Step 2: Convert to fraction form
    359,315.06/495,884.57 = 206,382.76/x
  3. Step 3: Cross multiply
    359,315.06x = 495,884.57 × 206,382.76
  4. Step 4: Simplify right side
    359,315.06x = 102,342,023,926.39
  5. Step 5: Solve for x
    x = 102,342,023,926.39/359,315.06
  6. Step 6: Final answer
    x = 284,825.32

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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.