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Finding the Fourth Proportional to 277,306.27, 415,959.40 and 90,317.77

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Solution

The fourth proportional to 277,306.27, 415,959.40 and 90,317.77 is: 135,476.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,306.27 : 415,959.40 = 90,317.77 : x
  2. Step 2: Convert to fraction form
    277,306.27/415,959.40 = 90,317.77/x
  3. Step 3: Cross multiply
    277,306.27x = 415,959.40 × 90,317.77
  4. Step 4: Simplify right side
    277,306.27x = 37,568,524,491.54
  5. Step 5: Solve for x
    x = 37,568,524,491.54/277,306.27
  6. Step 6: Final answer
    x = 135,476.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.