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Finding the Fourth Proportional to 412,141.83, 568,950.51 and 276,264.53

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Solution

The fourth proportional to 412,141.83, 568,950.51 and 276,264.53 is: 381,375.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,141.83 : 568,950.51 = 276,264.53 : x
  2. Step 2: Convert to fraction form
    412,141.83/568,950.51 = 276,264.53/x
  3. Step 3: Cross multiply
    412,141.83x = 568,950.51 × 276,264.53
  4. Step 4: Simplify right side
    412,141.83x = 157,180,845,238.41
  5. Step 5: Solve for x
    x = 157,180,845,238.41/412,141.83
  6. Step 6: Final answer
    x = 381,375.62

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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.