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Finding the Fourth Proportional to 409,282.52, 564,826.91 and 227,994.44

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Solution

The fourth proportional to 409,282.52, 564,826.91 and 227,994.44 is: 314,641.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,282.52 : 564,826.91 = 227,994.44 : x
  2. Step 2: Convert to fraction form
    409,282.52/564,826.91 = 227,994.44/x
  3. Step 3: Cross multiply
    409,282.52x = 564,826.91 × 227,994.44
  4. Step 4: Simplify right side
    409,282.52x = 128,777,391,078.27
  5. Step 5: Solve for x
    x = 128,777,391,078.27/409,282.52
  6. Step 6: Final answer
    x = 314,641.81

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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.