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Finding the Fourth Proportional to 361,528.56, 541,933.92 and 171,655.20

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Solution

The fourth proportional to 361,528.56, 541,933.92 and 171,655.20 is: 257,312.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,528.56 : 541,933.92 = 171,655.20 : x
  2. Step 2: Convert to fraction form
    361,528.56/541,933.92 = 171,655.20/x
  3. Step 3: Cross multiply
    361,528.56x = 541,933.92 × 171,655.20
  4. Step 4: Simplify right side
    361,528.56x = 93,025,775,424.38
  5. Step 5: Solve for x
    x = 93,025,775,424.38/361,528.56
  6. Step 6: Final answer
    x = 257,312.38

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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.