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Finding the Fourth Proportional to 471,732.84, 650,969.14 and 256,872.24

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Solution

The fourth proportional to 471,732.84, 650,969.14 and 256,872.24 is: 354,471.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,732.84 : 650,969.14 = 256,872.24 : x
  2. Step 2: Convert to fraction form
    471,732.84/650,969.14 = 256,872.24/x
  3. Step 3: Cross multiply
    471,732.84x = 650,969.14 × 256,872.24
  4. Step 4: Simplify right side
    471,732.84x = 167,215,901,162.67
  5. Step 5: Solve for x
    x = 167,215,901,162.67/471,732.84
  6. Step 6: Final answer
    x = 354,471.61

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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.