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Finding the Fourth Proportional to 361,886.20, 542,829.30 and 267,407.80

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Solution

The fourth proportional to 361,886.20, 542,829.30 and 267,407.80 is: 401,111.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,886.20 : 542,829.30 = 267,407.80 : x
  2. Step 2: Convert to fraction form
    361,886.20/542,829.30 = 267,407.80/x
  3. Step 3: Cross multiply
    361,886.20x = 542,829.30 × 267,407.80
  4. Step 4: Simplify right side
    361,886.20x = 145,156,788,888.54
  5. Step 5: Solve for x
    x = 145,156,788,888.54/361,886.20
  6. Step 6: Final answer
    x = 401,111.70

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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.