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Finding the Fourth Proportional to 272,092.87, 408,729.80 and 230,057.36

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Solution

The fourth proportional to 272,092.87, 408,729.80 and 230,057.36 is: 345,585.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,092.87 : 408,729.80 = 230,057.36 : x
  2. Step 2: Convert to fraction form
    272,092.87/408,729.80 = 230,057.36/x
  3. Step 3: Cross multiply
    272,092.87x = 408,729.80 × 230,057.36
  4. Step 4: Simplify right side
    272,092.87x = 94,031,299,810.59
  5. Step 5: Solve for x
    x = 94,031,299,810.59/272,092.87
  6. Step 6: Final answer
    x = 345,585.31

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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.