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Finding the Fourth Proportional to 362,439.90, 542,660.31 and 273,424.14

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Solution

The fourth proportional to 362,439.90, 542,660.31 and 273,424.14 is: 409,382.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,439.90 : 542,660.31 = 273,424.14 : x
  2. Step 2: Convert to fraction form
    362,439.90/542,660.31 = 273,424.14/x
  3. Step 3: Cross multiply
    362,439.90x = 542,660.31 × 273,424.14
  4. Step 4: Simplify right side
    362,439.90x = 148,376,428,573.88
  5. Step 5: Solve for x
    x = 148,376,428,573.88/362,439.90
  6. Step 6: Final answer
    x = 409,382.16

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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.