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Finding the Fourth Proportional to 541,398.87, 812,140.22 and 181,571.76

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Solution

The fourth proportional to 541,398.87, 812,140.22 and 181,571.76 is: 272,371.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,398.87 : 812,140.22 = 181,571.76 : x
  2. Step 2: Convert to fraction form
    541,398.87/812,140.22 = 181,571.76/x
  3. Step 3: Cross multiply
    541,398.87x = 812,140.22 × 181,571.76
  4. Step 4: Simplify right side
    541,398.87x = 147,461,729,566.12
  5. Step 5: Solve for x
    x = 147,461,729,566.12/541,398.87
  6. Step 6: Final answer
    x = 272,371.70

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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.