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Finding the Fourth Proportional to 359,489.36, 496,139.25 and 206,527.26

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Solution

The fourth proportional to 359,489.36, 496,139.25 and 206,527.26 is: 285,032.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,489.36 : 496,139.25 = 206,527.26 : x
  2. Step 2: Convert to fraction form
    359,489.36/496,139.25 = 206,527.26/x
  3. Step 3: Cross multiply
    359,489.36x = 496,139.25 × 206,527.26
  4. Step 4: Simplify right side
    359,489.36x = 102,466,279,880.96
  5. Step 5: Solve for x
    x = 102,466,279,880.96/359,489.36
  6. Step 6: Final answer
    x = 285,032.86

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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.