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Finding the Fourth Proportional to 361,104.65, 541,335.76 and 171,448.01

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Solution

The fourth proportional to 361,104.65, 541,335.76 and 171,448.01 is: 257,019.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,104.65 : 541,335.76 = 171,448.01 : x
  2. Step 2: Convert to fraction form
    361,104.65/541,335.76 = 171,448.01/x
  3. Step 3: Cross multiply
    361,104.65x = 541,335.76 × 171,448.01
  4. Step 4: Simplify right side
    361,104.65x = 92,810,937,688.55
  5. Step 5: Solve for x
    x = 92,810,937,688.55/361,104.65
  6. Step 6: Final answer
    x = 257,019.50

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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.