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Finding the Fourth Proportional to 275,743.20, 413,614.80 and 181,264.80

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Solution

The fourth proportional to 275,743.20, 413,614.80 and 181,264.80 is: 271,897.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,743.20 : 413,614.80 = 181,264.80 : x
  2. Step 2: Convert to fraction form
    275,743.20/413,614.80 = 181,264.80/x
  3. Step 3: Cross multiply
    275,743.20x = 413,614.80 × 181,264.80
  4. Step 4: Simplify right side
    275,743.20x = 74,973,803,999.04
  5. Step 5: Solve for x
    x = 74,973,803,999.04/275,743.20
  6. Step 6: Final answer
    x = 271,897.20

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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.