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Finding the Fourth Proportional to 471,462.54, 650,632.10 and 256,616.52

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Solution

The fourth proportional to 471,462.54, 650,632.10 and 256,616.52 is: 354,138.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,462.54 : 650,632.10 = 256,616.52 : x
  2. Step 2: Convert to fraction form
    471,462.54/650,632.10 = 256,616.52/x
  3. Step 3: Cross multiply
    471,462.54x = 650,632.10 × 256,616.52
  4. Step 4: Simplify right side
    471,462.54x = 166,962,944,019.21
  5. Step 5: Solve for x
    x = 166,962,944,019.21/471,462.54
  6. Step 6: Final answer
    x = 354,138.30

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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.