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Finding the Fourth Proportional to 408,841.78, 564,195.93 and 227,553.76

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Solution

The fourth proportional to 408,841.78, 564,195.93 and 227,553.76 is: 314,021.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,841.78 : 564,195.93 = 227,553.76 : x
  2. Step 2: Convert to fraction form
    408,841.78/564,195.93 = 227,553.76/x
  3. Step 3: Cross multiply
    408,841.78x = 564,195.93 × 227,553.76
  4. Step 4: Simplify right side
    408,841.78x = 128,384,903,206.50
  5. Step 5: Solve for x
    x = 128,384,903,206.50/408,841.78
  6. Step 6: Final answer
    x = 314,021.00

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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.