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Finding the Fourth Proportional to 305,808.24, 422,020.59 and 167,992.98

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Solution

The fourth proportional to 305,808.24, 422,020.59 and 167,992.98 is: 231,833.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,808.24 : 422,020.59 = 167,992.98 : x
  2. Step 2: Convert to fraction form
    305,808.24/422,020.59 = 167,992.98/x
  3. Step 3: Cross multiply
    305,808.24x = 422,020.59 × 167,992.98
  4. Step 4: Simplify right side
    305,808.24x = 70,896,496,535.46
  5. Step 5: Solve for x
    x = 70,896,496,535.46/305,808.24
  6. Step 6: Final answer
    x = 231,833.18

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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.