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Finding the Fourth Proportional to 272,558.40, 408,856.80 and 154,286.40

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Solution

The fourth proportional to 272,558.40, 408,856.80 and 154,286.40 is: 231,440.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,558.40 : 408,856.80 = 154,286.40 : x
  2. Step 2: Convert to fraction form
    272,558.40/408,856.80 = 154,286.40/x
  3. Step 3: Cross multiply
    272,558.40x = 408,856.80 × 154,286.40
  4. Step 4: Simplify right side
    272,558.40x = 63,081,043,787.52
  5. Step 5: Solve for x
    x = 63,081,043,787.52/272,558.40
  6. Step 6: Final answer
    x = 231,440.47

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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.