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Finding the Fourth Proportional to 361,352.28, 542,213.46 and 172,026.84

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Solution

The fourth proportional to 361,352.28, 542,213.46 and 172,026.84 is: 258,128.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,352.28 : 542,213.46 = 172,026.84 : x
  2. Step 2: Convert to fraction form
    361,352.28/542,213.46 = 172,026.84/x
  3. Step 3: Cross multiply
    361,352.28x = 542,213.46 × 172,026.84
  4. Step 4: Simplify right side
    361,352.28x = 93,275,268,129.27
  5. Step 5: Solve for x
    x = 93,275,268,129.27/361,352.28
  6. Step 6: Final answer
    x = 258,128.35

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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.