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Finding the Fourth Proportional to 310,939.30, 466,408.95 and 171,583.66

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Solution

The fourth proportional to 310,939.30, 466,408.95 and 171,583.66 is: 257,375.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,939.30 : 466,408.95 = 171,583.66 : x
  2. Step 2: Convert to fraction form
    310,939.30/466,408.95 = 171,583.66/x
  3. Step 3: Cross multiply
    310,939.30x = 466,408.95 × 171,583.66
  4. Step 4: Simplify right side
    310,939.30x = 80,028,151,507.79
  5. Step 5: Solve for x
    x = 80,028,151,507.79/310,939.30
  6. Step 6: Final answer
    x = 257,375.48

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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.