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Finding the Fourth Proportional to 408,854.32, 564,224.30 and 225,114.26

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Solution

The fourth proportional to 408,854.32, 564,224.30 and 225,114.26 is: 310,660.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,854.32 : 564,224.30 = 225,114.26 : x
  2. Step 2: Convert to fraction form
    408,854.32/564,224.30 = 225,114.26/x
  3. Step 3: Cross multiply
    408,854.32x = 564,224.30 × 225,114.26
  4. Step 4: Simplify right side
    408,854.32x = 127,014,935,768.52
  5. Step 5: Solve for x
    x = 127,014,935,768.52/408,854.32
  6. Step 6: Final answer
    x = 310,660.62

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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.