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Finding the Fourth Proportional to 408,296.16, 563,467.46 and 227,026.71

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Solution

The fourth proportional to 408,296.16, 563,467.46 and 227,026.71 is: 313,307.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,296.16 : 563,467.46 = 227,026.71 : x
  2. Step 2: Convert to fraction form
    408,296.16/563,467.46 = 227,026.71/x
  3. Step 3: Cross multiply
    408,296.16x = 563,467.46 × 227,026.71
  4. Step 4: Simplify right side
    408,296.16x = 127,922,162,500.72
  5. Step 5: Solve for x
    x = 127,922,162,500.72/408,296.16
  6. Step 6: Final answer
    x = 313,307.29

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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.