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Finding the Fourth Proportional to 542,777.90, 814,241.19 and 187,696.58

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Solution

The fourth proportional to 542,777.90, 814,241.19 and 187,696.58 is: 281,570.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,777.90 : 814,241.19 = 187,696.58 : x
  2. Step 2: Convert to fraction form
    542,777.90/814,241.19 = 187,696.58/x
  3. Step 3: Cross multiply
    542,777.90x = 814,241.19 × 187,696.58
  4. Step 4: Simplify right side
    542,777.90x = 152,830,286,658.13
  5. Step 5: Solve for x
    x = 152,830,286,658.13/542,777.90
  6. Step 6: Final answer
    x = 281,570.58

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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.