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Finding the Fourth Proportional to 542,761.68, 814,132.80 and 222,844.08

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Solution

The fourth proportional to 542,761.68, 814,132.80 and 222,844.08 is: 334,262.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,761.68 : 814,132.80 = 222,844.08 : x
  2. Step 2: Convert to fraction form
    542,761.68/814,132.80 = 222,844.08/x
  3. Step 3: Cross multiply
    542,761.68x = 814,132.80 × 222,844.08
  4. Step 4: Simplify right side
    542,761.68x = 181,424,674,813.82
  5. Step 5: Solve for x
    x = 181,424,674,813.82/542,761.68
  6. Step 6: Final answer
    x = 334,262.13

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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.