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Finding the Fourth Proportional to 589,414.92, 813,461.73 and 331,292.22

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Solution

The fourth proportional to 589,414.92, 813,461.73 and 331,292.22 is: 457,222.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,414.92 : 813,461.73 = 331,292.22 : x
  2. Step 2: Convert to fraction form
    589,414.92/813,461.73 = 331,292.22/x
  3. Step 3: Cross multiply
    589,414.92x = 813,461.73 × 331,292.22
  4. Step 4: Simplify right side
    589,414.92x = 269,493,542,416.74
  5. Step 5: Solve for x
    x = 269,493,542,416.74/589,414.92
  6. Step 6: Final answer
    x = 457,222.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.