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Finding the Fourth Proportional to 408,854.50, 564,224.56 and 225,114.44

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Solution

The fourth proportional to 408,854.50, 564,224.56 and 225,114.44 is: 310,660.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,854.50 : 564,224.56 = 225,114.44 : x
  2. Step 2: Convert to fraction form
    408,854.50/564,224.56 = 225,114.44/x
  3. Step 3: Cross multiply
    408,854.50x = 564,224.56 × 225,114.44
  4. Step 4: Simplify right side
    408,854.50x = 127,015,093,322.51
  5. Step 5: Solve for x
    x = 127,015,093,322.51/408,854.50
  6. Step 6: Final answer
    x = 310,660.87

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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.