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Finding the Fourth Proportional to 294,381, 406,245.78 and 160,245

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Solution

The fourth proportional to 294,381, 406,245.78 and 160,245 is: 221,138.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,381 : 406,245.78 = 160,245 : x
  2. Step 2: Convert to fraction form
    294,381/406,245.78 = 160,245/x
  3. Step 3: Cross multiply
    294,381x = 406,245.78 × 160,245
  4. Step 4: Simplify right side
    294,381x = 65,098,855,016.10
  5. Step 5: Solve for x
    x = 65,098,855,016.10/294,381
  6. Step 6: Final answer
    x = 221,138.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.