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Finding the Fourth Proportional to 275,490.59, 413,047.22 and 140,292.95

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Solution

The fourth proportional to 275,490.59, 413,047.22 and 140,292.95 is: 210,343.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,490.59 : 413,047.22 = 140,292.95 : x
  2. Step 2: Convert to fraction form
    275,490.59/413,047.22 = 140,292.95/x
  3. Step 3: Cross multiply
    275,490.59x = 413,047.22 × 140,292.95
  4. Step 4: Simplify right side
    275,490.59x = 57,947,614,366.45
  5. Step 5: Solve for x
    x = 57,947,614,366.45/275,490.59
  6. Step 6: Final answer
    x = 210,343.36

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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.