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Finding the Fourth Proportional to 471,544.36, 650,539.02 and 290,201.56

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Solution

The fourth proportional to 471,544.36, 650,539.02 and 290,201.56 is: 400,359.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,544.36 : 650,539.02 = 290,201.56 : x
  2. Step 2: Convert to fraction form
    471,544.36/650,539.02 = 290,201.56/x
  3. Step 3: Cross multiply
    471,544.36x = 650,539.02 × 290,201.56
  4. Step 4: Simplify right side
    471,544.36x = 188,787,438,444.87
  5. Step 5: Solve for x
    x = 188,787,438,444.87/471,544.36
  6. Step 6: Final answer
    x = 400,359.87

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Why These Related Problems?

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