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Finding the Fourth Proportional to 471,892.80, 707,839.20 and 139,468.80

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Solution

The fourth proportional to 471,892.80, 707,839.20 and 139,468.80 is: 209,203.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,892.80 : 707,839.20 = 139,468.80 : x
  2. Step 2: Convert to fraction form
    471,892.80/707,839.20 = 139,468.80/x
  3. Step 3: Cross multiply
    471,892.80x = 707,839.20 × 139,468.80
  4. Step 4: Simplify right side
    471,892.80x = 98,721,483,816.96
  5. Step 5: Solve for x
    x = 98,721,483,816.96/471,892.80
  6. Step 6: Final answer
    x = 209,203.20

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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.