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Finding the Fourth Proportional to 408,266.46, 563,358.47 and 226,955.16

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Solution

The fourth proportional to 408,266.46, 563,358.47 and 226,955.16 is: 313,170.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,266.46 : 563,358.47 = 226,955.16 : x
  2. Step 2: Convert to fraction form
    408,266.46/563,358.47 = 226,955.16/x
  3. Step 3: Cross multiply
    408,266.46x = 563,358.47 × 226,955.16
  4. Step 4: Simplify right side
    408,266.46x = 127,857,110,561.43
  5. Step 5: Solve for x
    x = 127,857,110,561.43/408,266.46
  6. Step 6: Final answer
    x = 313,170.74

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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.