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Finding the Fourth Proportional to 422,912.54, 583,459.16 and 269,956.46

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Solution

The fourth proportional to 422,912.54, 583,459.16 and 269,956.46 is: 372,437.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,912.54 : 583,459.16 = 269,956.46 : x
  2. Step 2: Convert to fraction form
    422,912.54/583,459.16 = 269,956.46/x
  3. Step 3: Cross multiply
    422,912.54x = 583,459.16 × 269,956.46
  4. Step 4: Simplify right side
    422,912.54x = 157,508,569,388.17
  5. Step 5: Solve for x
    x = 157,508,569,388.17/422,912.54
  6. Step 6: Final answer
    x = 372,437.69

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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.