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Finding the Fourth Proportional to 362,054.56, 542,921.46 and 193,534.06

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Solution

The fourth proportional to 362,054.56, 542,921.46 and 193,534.06 is: 290,215.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,054.56 : 542,921.46 = 193,534.06 : x
  2. Step 2: Convert to fraction form
    362,054.56/542,921.46 = 193,534.06/x
  3. Step 3: Cross multiply
    362,054.56x = 542,921.46 × 193,534.06
  4. Step 4: Simplify right side
    362,054.56x = 105,073,794,414.93
  5. Step 5: Solve for x
    x = 105,073,794,414.93/362,054.56
  6. Step 6: Final answer
    x = 290,215.36

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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.