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Finding the Fourth Proportional to 410,537.97, 615,816.27 and 326,356.29

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Solution

The fourth proportional to 410,537.97, 615,816.27 and 326,356.29 is: 489,541.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,537.97 : 615,816.27 = 326,356.29 : x
  2. Step 2: Convert to fraction form
    410,537.97/615,816.27 = 326,356.29/x
  3. Step 3: Cross multiply
    410,537.97x = 615,816.27 × 326,356.29
  4. Step 4: Simplify right side
    410,537.97x = 200,975,513,198.84
  5. Step 5: Solve for x
    x = 200,975,513,198.84/410,537.97
  6. Step 6: Final answer
    x = 489,541.84

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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.