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Finding the Fourth Proportional to 542,703.16, 814,178.73 and 187,716.88

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Solution

The fourth proportional to 542,703.16, 814,178.73 and 187,716.88 is: 281,618.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,703.16 : 814,178.73 = 187,716.88 : x
  2. Step 2: Convert to fraction form
    542,703.16/814,178.73 = 187,716.88/x
  3. Step 3: Cross multiply
    542,703.16x = 814,178.73 × 187,716.88
  4. Step 4: Simplify right side
    542,703.16x = 152,835,090,957.96
  5. Step 5: Solve for x
    x = 152,835,090,957.96/542,703.16
  6. Step 6: Final answer
    x = 281,618.21

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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.