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Finding the Fourth Proportional to 299,143.17, 413,355.19 and 227,398.64

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Solution

The fourth proportional to 299,143.17, 413,355.19 and 227,398.64 is: 314,218.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,143.17 : 413,355.19 = 227,398.64 : x
  2. Step 2: Convert to fraction form
    299,143.17/413,355.19 = 227,398.64/x
  3. Step 3: Cross multiply
    299,143.17x = 413,355.19 × 227,398.64
  4. Step 4: Simplify right side
    299,143.17x = 93,996,408,042.94
  5. Step 5: Solve for x
    x = 93,996,408,042.94/299,143.17
  6. Step 6: Final answer
    x = 314,218.80

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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.