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Finding the Fourth Proportional to 597,967.92, 825,202.22 and 326,033.64

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Solution

The fourth proportional to 597,967.92, 825,202.22 and 326,033.64 is: 449,929.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,967.92 : 825,202.22 = 326,033.64 : x
  2. Step 2: Convert to fraction form
    597,967.92/825,202.22 = 326,033.64/x
  3. Step 3: Cross multiply
    597,967.92x = 825,202.22 × 326,033.64
  4. Step 4: Simplify right side
    597,967.92x = 269,043,681,892.51
  5. Step 5: Solve for x
    x = 269,043,681,892.51/597,967.92
  6. Step 6: Final answer
    x = 449,929.96

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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.