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Finding the Fourth Proportional to 597,980.48, 825,219.48 and 326,046.08

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Solution

The fourth proportional to 597,980.48, 825,219.48 and 326,046.08 is: 449,947.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,980.48 : 825,219.48 = 326,046.08 : x
  2. Step 2: Convert to fraction form
    597,980.48/825,219.48 = 326,046.08/x
  3. Step 3: Cross multiply
    597,980.48x = 825,219.48 × 326,046.08
  4. Step 4: Simplify right side
    597,980.48x = 269,059,576,593.64
  5. Step 5: Solve for x
    x = 269,059,576,593.64/597,980.48
  6. Step 6: Final answer
    x = 449,947.09

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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.