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Finding the Fourth Proportional to 467,002, 700,375.38 and 167,426.92

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Solution

The fourth proportional to 467,002, 700,375.38 and 167,426.92 is: 251,094.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,002 : 700,375.38 = 167,426.92 : x
  2. Step 2: Convert to fraction form
    467,002/700,375.38 = 167,426.92/x
  3. Step 3: Cross multiply
    467,002x = 700,375.38 × 167,426.92
  4. Step 4: Simplify right side
    467,002x = 117,261,692,717.23
  5. Step 5: Solve for x
    x = 117,261,692,717.23/467,002
  6. Step 6: Final answer
    x = 251,094.63

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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.