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Finding the Fourth Proportional to 408,844.54, 564,199.72 and 227,556.51

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Solution

The fourth proportional to 408,844.54, 564,199.72 and 227,556.51 is: 314,024.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,844.54 : 564,199.72 = 227,556.51 : x
  2. Step 2: Convert to fraction form
    408,844.54/564,199.72 = 227,556.51/x
  3. Step 3: Cross multiply
    408,844.54x = 564,199.72 × 227,556.51
  4. Step 4: Simplify right side
    408,844.54x = 128,387,319,226.18
  5. Step 5: Solve for x
    x = 128,387,319,226.18/408,844.54
  6. Step 6: Final answer
    x = 314,024.79

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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.