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Finding the Fourth Proportional to 471,219.75, 650,509.11 and 290,086.94

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Solution

The fourth proportional to 471,219.75, 650,509.11 and 290,086.94 is: 400,459.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,219.75 : 650,509.11 = 290,086.94 : x
  2. Step 2: Convert to fraction form
    471,219.75/650,509.11 = 290,086.94/x
  3. Step 3: Cross multiply
    471,219.75x = 650,509.11 × 290,086.94
  4. Step 4: Simplify right side
    471,219.75x = 188,704,197,162.02
  5. Step 5: Solve for x
    x = 188,704,197,162.02/471,219.75
  6. Step 6: Final answer
    x = 400,459.02

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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.