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Finding the Fourth Proportional to 344,200.80, 516,301.20 and 269,551.20

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Solution

The fourth proportional to 344,200.80, 516,301.20 and 269,551.20 is: 404,326.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,200.80 : 516,301.20 = 269,551.20 : x
  2. Step 2: Convert to fraction form
    344,200.80/516,301.20 = 269,551.20/x
  3. Step 3: Cross multiply
    344,200.80x = 516,301.20 × 269,551.20
  4. Step 4: Simplify right side
    344,200.80x = 139,169,608,021.44
  5. Step 5: Solve for x
    x = 139,169,608,021.44/344,200.80
  6. Step 6: Final answer
    x = 404,326.80

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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.