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Finding the Fourth Proportional to 294,279, 406,076.94 and 165,187.92

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Solution

The fourth proportional to 294,279, 406,076.94 and 165,187.92 is: 227,943.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,279 : 406,076.94 = 165,187.92 : x
  2. Step 2: Convert to fraction form
    294,279/406,076.94 = 165,187.92/x
  3. Step 3: Cross multiply
    294,279x = 406,076.94 × 165,187.92
  4. Step 4: Simplify right side
    294,279x = 67,079,005,078.56
  5. Step 5: Solve for x
    x = 67,079,005,078.56/294,279
  6. Step 6: Final answer
    x = 227,943.57

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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.