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Finding the Fourth Proportional to 542,843.61, 814,321.30 and 187,857.06

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Solution

The fourth proportional to 542,843.61, 814,321.30 and 187,857.06 is: 281,804.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,843.61 : 814,321.30 = 187,857.06 : x
  2. Step 2: Convert to fraction form
    542,843.61/814,321.30 = 187,857.06/x
  3. Step 3: Cross multiply
    542,843.61x = 814,321.30 × 187,857.06
  4. Step 4: Simplify right side
    542,843.61x = 152,976,005,313.38
  5. Step 5: Solve for x
    x = 152,976,005,313.38/542,843.61
  6. Step 6: Final answer
    x = 281,804.93

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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.