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Finding the Fourth Proportional to 417,612.41, 576,305.48 and 226,625.78

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Solution

The fourth proportional to 417,612.41, 576,305.48 and 226,625.78 is: 312,743.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,612.41 : 576,305.48 = 226,625.78 : x
  2. Step 2: Convert to fraction form
    417,612.41/576,305.48 = 226,625.78/x
  3. Step 3: Cross multiply
    417,612.41x = 576,305.48 × 226,625.78
  4. Step 4: Simplify right side
    417,612.41x = 130,605,680,930.60
  5. Step 5: Solve for x
    x = 130,605,680,930.60/417,612.41
  6. Step 6: Final answer
    x = 312,743.77

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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.