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Finding the Fourth Proportional to 408,873.01, 564,263.29 and 227,596.49

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Solution

The fourth proportional to 408,873.01, 564,263.29 and 227,596.49 is: 314,093.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,873.01 : 564,263.29 = 227,596.49 : x
  2. Step 2: Convert to fraction form
    408,873.01/564,263.29 = 227,596.49/x
  3. Step 3: Cross multiply
    408,873.01x = 564,263.29 × 227,596.49
  4. Step 4: Simplify right side
    408,873.01x = 128,424,344,239.85
  5. Step 5: Solve for x
    x = 128,424,344,239.85/408,873.01
  6. Step 6: Final answer
    x = 314,093.47

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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.