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Finding the Fourth Proportional to 471,694.07, 650,932.16 and 256,834.08

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Solution

The fourth proportional to 471,694.07, 650,932.16 and 256,834.08 is: 354,427.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,694.07 : 650,932.16 = 256,834.08 : x
  2. Step 2: Convert to fraction form
    471,694.07/650,932.16 = 256,834.08/x
  3. Step 3: Cross multiply
    471,694.07x = 650,932.16 × 256,834.08
  4. Step 4: Simplify right side
    471,694.07x = 167,181,562,456.01
  5. Step 5: Solve for x
    x = 167,181,562,456.01/471,694.07
  6. Step 6: Final answer
    x = 354,427.95

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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.