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Finding the Fourth Proportional to 322,921.56, 484,447.14 and 112,503

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Solution

The fourth proportional to 322,921.56, 484,447.14 and 112,503 is: 168,777.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,921.56 : 484,447.14 = 112,503 : x
  2. Step 2: Convert to fraction form
    322,921.56/484,447.14 = 112,503/x
  3. Step 3: Cross multiply
    322,921.56x = 484,447.14 × 112,503
  4. Step 4: Simplify right side
    322,921.56x = 54,501,756,591.42
  5. Step 5: Solve for x
    x = 54,501,756,591.42/322,921.56
  6. Step 6: Final answer
    x = 168,777.08

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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.