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Finding the Fourth Proportional to 523,838.28, 785,231.34 and 168,591.24

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Solution

The fourth proportional to 523,838.28, 785,231.34 and 168,591.24 is: 252,717.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,838.28 : 785,231.34 = 168,591.24 : x
  2. Step 2: Convert to fraction form
    523,838.28/785,231.34 = 168,591.24/x
  3. Step 3: Cross multiply
    523,838.28x = 785,231.34 × 168,591.24
  4. Step 4: Simplify right side
    523,838.28x = 132,383,125,297.46
  5. Step 5: Solve for x
    x = 132,383,125,297.46/523,838.28
  6. Step 6: Final answer
    x = 252,717.55

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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.