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Finding the Fourth Proportional to 408,014.92, 563,049.32 and 226,722.16

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Solution

The fourth proportional to 408,014.92, 563,049.32 and 226,722.16 is: 312,870.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,014.92 : 563,049.32 = 226,722.16 : x
  2. Step 2: Convert to fraction form
    408,014.92/563,049.32 = 226,722.16/x
  3. Step 3: Cross multiply
    408,014.92x = 563,049.32 × 226,722.16
  4. Step 4: Simplify right side
    408,014.92x = 127,655,758,016.93
  5. Step 5: Solve for x
    x = 127,655,758,016.93/408,014.92
  6. Step 6: Final answer
    x = 312,870.32

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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.