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Finding the Fourth Proportional to 409,435.53, 614,153.28 and 159,942.57

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Solution

The fourth proportional to 409,435.53, 614,153.28 and 159,942.57 is: 239,913.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,435.53 : 614,153.28 = 159,942.57 : x
  2. Step 2: Convert to fraction form
    409,435.53/614,153.28 = 159,942.57/x
  3. Step 3: Cross multiply
    409,435.53x = 614,153.28 × 159,942.57
  4. Step 4: Simplify right side
    409,435.53x = 98,229,253,977.13
  5. Step 5: Solve for x
    x = 98,229,253,977.13/409,435.53
  6. Step 6: Final answer
    x = 239,913.85

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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.