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Finding the Fourth Proportional to 417,156.48, 625,728.24 and 167,832

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Solution

The fourth proportional to 417,156.48, 625,728.24 and 167,832 is: 251,745.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,156.48 : 625,728.24 = 167,832 : x
  2. Step 2: Convert to fraction form
    417,156.48/625,728.24 = 167,832/x
  3. Step 3: Cross multiply
    417,156.48x = 625,728.24 × 167,832
  4. Step 4: Simplify right side
    417,156.48x = 105,017,221,975.68
  5. Step 5: Solve for x
    x = 105,017,221,975.68/417,156.48
  6. Step 6: Final answer
    x = 251,745.39

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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.