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Finding the Fourth Proportional to 306,526.88, 422,943.70 and 179,177.84

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Solution

The fourth proportional to 306,526.88, 422,943.70 and 179,177.84 is: 247,228.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,526.88 : 422,943.70 = 179,177.84 : x
  2. Step 2: Convert to fraction form
    306,526.88/422,943.70 = 179,177.84/x
  3. Step 3: Cross multiply
    306,526.88x = 422,943.70 × 179,177.84
  4. Step 4: Simplify right side
    306,526.88x = 75,782,138,607.61
  5. Step 5: Solve for x
    x = 75,782,138,607.61/306,526.88
  6. Step 6: Final answer
    x = 247,228.36

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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.