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Finding the Fourth Proportional to 290,439.38, 435,555.97 and 85,216.76

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Solution

The fourth proportional to 290,439.38, 435,555.97 and 85,216.76 is: 127,794.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,439.38 : 435,555.97 = 85,216.76 : x
  2. Step 2: Convert to fraction form
    290,439.38/435,555.97 = 85,216.76/x
  3. Step 3: Cross multiply
    290,439.38x = 435,555.97 × 85,216.76
  4. Step 4: Simplify right side
    290,439.38x = 37,116,666,171.24
  5. Step 5: Solve for x
    x = 37,116,666,171.24/290,439.38
  6. Step 6: Final answer
    x = 127,794.88

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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.