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Finding the Fourth Proportional to 467,394.24, 701,508 and 218,216.64

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Solution

The fourth proportional to 467,394.24, 701,508 and 218,216.64 is: 327,519.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,394.24 : 701,508 = 218,216.64 : x
  2. Step 2: Convert to fraction form
    467,394.24/701,508 = 218,216.64/x
  3. Step 3: Cross multiply
    467,394.24x = 701,508 × 218,216.64
  4. Step 4: Simplify right side
    467,394.24x = 153,080,718,693.12
  5. Step 5: Solve for x
    x = 153,080,718,693.12/467,394.24
  6. Step 6: Final answer
    x = 327,519.48

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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.