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Finding the Fourth Proportional to 589,472.93, 813,558.78 and 331,371.14

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Solution

The fourth proportional to 589,472.93, 813,558.78 and 331,371.14 is: 457,340.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,472.93 : 813,558.78 = 331,371.14 : x
  2. Step 2: Convert to fraction form
    589,472.93/813,558.78 = 331,371.14/x
  3. Step 3: Cross multiply
    589,472.93x = 813,558.78 × 331,371.14
  4. Step 4: Simplify right side
    589,472.93x = 269,589,896,317.82
  5. Step 5: Solve for x
    x = 269,589,896,317.82/589,472.93
  6. Step 6: Final answer
    x = 457,340.59

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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.