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Finding the Fourth Proportional to 471,882.80, 707,824.20 and 139,458.80

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Solution

The fourth proportional to 471,882.80, 707,824.20 and 139,458.80 is: 209,188.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,882.80 : 707,824.20 = 139,458.80 : x
  2. Step 2: Convert to fraction form
    471,882.80/707,824.20 = 139,458.80/x
  3. Step 3: Cross multiply
    471,882.80x = 707,824.20 × 139,458.80
  4. Step 4: Simplify right side
    471,882.80x = 98,712,313,542.96
  5. Step 5: Solve for x
    x = 98,712,313,542.96/471,882.80
  6. Step 6: Final answer
    x = 209,188.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.