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Finding the Fourth Proportional to 361,271.76, 542,257.56 and 174,414.48

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Solution

The fourth proportional to 361,271.76, 542,257.56 and 174,414.48 is: 261,790.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,271.76 : 542,257.56 = 174,414.48 : x
  2. Step 2: Convert to fraction form
    361,271.76/542,257.56 = 174,414.48/x
  3. Step 3: Cross multiply
    361,271.76x = 542,257.56 × 174,414.48
  4. Step 4: Simplify right side
    361,271.76x = 94,577,570,353.47
  5. Step 5: Solve for x
    x = 94,577,570,353.47/361,271.76
  6. Step 6: Final answer
    x = 261,790.65

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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.