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Finding the Fourth Proportional to 296,272.38, 408,855.63 and 167,238.02

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Solution

The fourth proportional to 296,272.38, 408,855.63 and 167,238.02 is: 230,788.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,272.38 : 408,855.63 = 167,238.02 : x
  2. Step 2: Convert to fraction form
    296,272.38/408,855.63 = 167,238.02/x
  3. Step 3: Cross multiply
    296,272.38x = 408,855.63 × 167,238.02
  4. Step 4: Simplify right side
    296,272.38x = 68,376,203,965.45
  5. Step 5: Solve for x
    x = 68,376,203,965.45/296,272.38
  6. Step 6: Final answer
    x = 230,788.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.