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Finding the Fourth Proportional to 471,267.66, 650,329.94 and 256,408.58

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Solution

The fourth proportional to 471,267.66, 650,329.94 and 256,408.58 is: 353,833.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,267.66 : 650,329.94 = 256,408.58 : x
  2. Step 2: Convert to fraction form
    471,267.66/650,329.94 = 256,408.58/x
  3. Step 3: Cross multiply
    471,267.66x = 650,329.94 × 256,408.58
  4. Step 4: Simplify right side
    471,267.66x = 166,750,178,713.73
  5. Step 5: Solve for x
    x = 166,750,178,713.73/471,267.66
  6. Step 6: Final answer
    x = 353,833.27

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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.