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Finding the Fourth Proportional to 381,296.48, 571,572.84 and 181,563.20

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Solution

The fourth proportional to 381,296.48, 571,572.84 and 181,563.20 is: 272,167.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,296.48 : 571,572.84 = 181,563.20 : x
  2. Step 2: Convert to fraction form
    381,296.48/571,572.84 = 181,563.20/x
  3. Step 3: Cross multiply
    381,296.48x = 571,572.84 × 181,563.20
  4. Step 4: Simplify right side
    381,296.48x = 103,776,593,863.49
  5. Step 5: Solve for x
    x = 103,776,593,863.49/381,296.48
  6. Step 6: Final answer
    x = 272,167.72

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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.