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Finding the Fourth Proportional to 542,705.44, 814,097.04 and 143,342.23

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Solution

The fourth proportional to 542,705.44, 814,097.04 and 143,342.23 is: 215,023.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,705.44 : 814,097.04 = 143,342.23 : x
  2. Step 2: Convert to fraction form
    542,705.44/814,097.04 = 143,342.23/x
  3. Step 3: Cross multiply
    542,705.44x = 814,097.04 × 143,342.23
  4. Step 4: Simplify right side
    542,705.44x = 116,694,485,150.00
  5. Step 5: Solve for x
    x = 116,694,485,150.00/542,705.44
  6. Step 6: Final answer
    x = 215,023.61

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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.