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Finding the Fourth Proportional to 408,165.52, 563,236.02 and 226,863.22

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Solution

The fourth proportional to 408,165.52, 563,236.02 and 226,863.22 is: 313,053.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,165.52 : 563,236.02 = 226,863.22 : x
  2. Step 2: Convert to fraction form
    408,165.52/563,236.02 = 226,863.22/x
  3. Step 3: Cross multiply
    408,165.52x = 563,236.02 × 226,863.22
  4. Step 4: Simplify right side
    408,165.52x = 127,777,537,117.18
  5. Step 5: Solve for x
    x = 127,777,537,117.18/408,165.52
  6. Step 6: Final answer
    x = 313,053.24

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1.5x scale

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.