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Finding the Fourth Proportional to 409,229.16, 564,764.61 and 248,091

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Solution

The fourth proportional to 409,229.16, 564,764.61 and 248,091 is: 342,382.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,229.16 : 564,764.61 = 248,091 : x
  2. Step 2: Convert to fraction form
    409,229.16/564,764.61 = 248,091/x
  3. Step 3: Cross multiply
    409,229.16x = 564,764.61 × 248,091
  4. Step 4: Simplify right side
    409,229.16x = 140,113,016,859.51
  5. Step 5: Solve for x
    x = 140,113,016,859.51/409,229.16
  6. Step 6: Final answer
    x = 342,382.78

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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.