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Finding the Fourth Proportional to 408,044.64, 563,104.71 and 226,773.57

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Solution

The fourth proportional to 408,044.64, 563,104.71 and 226,773.57 is: 312,949.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,044.64 : 563,104.71 = 226,773.57 : x
  2. Step 2: Convert to fraction form
    408,044.64/563,104.71 = 226,773.57/x
  3. Step 3: Cross multiply
    408,044.64x = 563,104.71 × 226,773.57
  4. Step 4: Simplify right side
    408,044.64x = 127,697,265,370.52
  5. Step 5: Solve for x
    x = 127,697,265,370.52/408,044.64
  6. Step 6: Final answer
    x = 312,949.25

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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.