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Finding the Fourth Proportional to 597,975.40, 825,212.54 and 326,041.08

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Solution

The fourth proportional to 597,975.40, 825,212.54 and 326,041.08 is: 449,940.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,975.40 : 825,212.54 = 326,041.08 : x
  2. Step 2: Convert to fraction form
    597,975.40/825,212.54 = 326,041.08/x
  3. Step 3: Cross multiply
    597,975.40x = 825,212.54 × 326,041.08
  4. Step 4: Simplify right side
    597,975.40x = 269,053,187,771.14
  5. Step 5: Solve for x
    x = 269,053,187,771.14/597,975.40
  6. Step 6: Final answer
    x = 449,940.23

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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.