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Finding the Fourth Proportional to 471,476.82, 650,640.72 and 256,616.38

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Solution

The fourth proportional to 471,476.82, 650,640.72 and 256,616.38 is: 354,132.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,476.82 : 650,640.72 = 256,616.38 : x
  2. Step 2: Convert to fraction form
    471,476.82/650,640.72 = 256,616.38/x
  3. Step 3: Cross multiply
    471,476.82x = 650,640.72 × 256,616.38
  4. Step 4: Simplify right side
    471,476.82x = 166,965,066,246.99
  5. Step 5: Solve for x
    x = 166,965,066,246.99/471,476.82
  6. Step 6: Final answer
    x = 354,132.08

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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.