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Finding the Fourth Proportional to 299,143.24, 413,355.26 and 227,398.70

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Solution

The fourth proportional to 299,143.24, 413,355.26 and 227,398.70 is: 314,218.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,143.24 : 413,355.26 = 227,398.70 : x
  2. Step 2: Convert to fraction form
    299,143.24/413,355.26 = 227,398.70/x
  3. Step 3: Cross multiply
    299,143.24x = 413,355.26 × 227,398.70
  4. Step 4: Simplify right side
    299,143.24x = 93,996,450,364.05
  5. Step 5: Solve for x
    x = 93,996,450,364.05/299,143.24
  6. Step 6: Final answer
    x = 314,218.87

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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.