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Finding the Fourth Proportional to 294,760, 406,834.41 and 187,309.05

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Solution

The fourth proportional to 294,760, 406,834.41 and 187,309.05 is: 258,528.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,760 : 406,834.41 = 187,309.05 : x
  2. Step 2: Convert to fraction form
    294,760/406,834.41 = 187,309.05/x
  3. Step 3: Cross multiply
    294,760x = 406,834.41 × 187,309.05
  4. Step 4: Simplify right side
    294,760x = 76,203,766,844.41
  5. Step 5: Solve for x
    x = 76,203,766,844.41/294,760
  6. Step 6: Final answer
    x = 258,528.18

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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.