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Finding the Fourth Proportional to 307,227.40, 423,972.84 and 179,877.60

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Solution

The fourth proportional to 307,227.40, 423,972.84 and 179,877.60 is: 248,230.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,227.40 : 423,972.84 = 179,877.60 : x
  2. Step 2: Convert to fraction form
    307,227.40/423,972.84 = 179,877.60/x
  3. Step 3: Cross multiply
    307,227.40x = 423,972.84 × 179,877.60
  4. Step 4: Simplify right side
    307,227.40x = 76,263,216,924.38
  5. Step 5: Solve for x
    x = 76,263,216,924.38/307,227.40
  6. Step 6: Final answer
    x = 248,230.52

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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.