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Finding the Fourth Proportional to 359,247.87, 495,745.11 and 206,179.74

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Solution

The fourth proportional to 359,247.87, 495,745.11 and 206,179.74 is: 284,518.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,247.87 : 495,745.11 = 206,179.74 : x
  2. Step 2: Convert to fraction form
    359,247.87/495,745.11 = 206,179.74/x
  3. Step 3: Cross multiply
    359,247.87x = 495,745.11 × 206,179.74
  4. Step 4: Simplify right side
    359,247.87x = 102,212,597,886.07
  5. Step 5: Solve for x
    x = 102,212,597,886.07/359,247.87
  6. Step 6: Final answer
    x = 284,518.31

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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.