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Finding the Fourth Proportional to 667,275, 998,401.32 and 467,984.40

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Solution

The fourth proportional to 667,275, 998,401.32 and 467,984.40 is: 700,215.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,275 : 998,401.32 = 467,984.40 : x
  2. Step 2: Convert to fraction form
    667,275/998,401.32 = 467,984.40/x
  3. Step 3: Cross multiply
    667,275x = 998,401.32 × 467,984.40
  4. Step 4: Simplify right side
    667,275x = 467,236,242,699.41
  5. Step 5: Solve for x
    x = 467,236,242,699.41/667,275
  6. Step 6: Final answer
    x = 700,215.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.