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Finding the Fourth Proportional to 598,007.28, 825,239.52 and 326,077.32

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Solution

The fourth proportional to 598,007.28, 825,239.52 and 326,077.32 is: 449,980.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,007.28 : 825,239.52 = 326,077.32 : x
  2. Step 2: Convert to fraction form
    598,007.28/825,239.52 = 326,077.32/x
  3. Step 3: Cross multiply
    598,007.28x = 825,239.52 × 326,077.32
  4. Step 4: Simplify right side
    598,007.28x = 269,091,891,039.69
  5. Step 5: Solve for x
    x = 269,091,891,039.69/598,007.28
  6. Step 6: Final answer
    x = 449,980.96

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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.