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Finding the Fourth Proportional to 474,821.16, 712,400.22 and 159,277.56

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Solution

The fourth proportional to 474,821.16, 712,400.22 and 159,277.56 is: 238,972.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,821.16 : 712,400.22 = 159,277.56 : x
  2. Step 2: Convert to fraction form
    474,821.16/712,400.22 = 159,277.56/x
  3. Step 3: Cross multiply
    474,821.16x = 712,400.22 × 159,277.56
  4. Step 4: Simplify right side
    474,821.16x = 113,469,368,785.06
  5. Step 5: Solve for x
    x = 113,469,368,785.06/474,821.16
  6. Step 6: Final answer
    x = 238,972.86

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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.