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Finding the Fourth Proportional to 410,115.20, 615,172.80 and 270,147.20

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Solution

The fourth proportional to 410,115.20, 615,172.80 and 270,147.20 is: 405,220.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,115.20 : 615,172.80 = 270,147.20 : x
  2. Step 2: Convert to fraction form
    410,115.20/615,172.80 = 270,147.20/x
  3. Step 3: Cross multiply
    410,115.20x = 615,172.80 × 270,147.20
  4. Step 4: Simplify right side
    410,115.20x = 166,187,209,436.16
  5. Step 5: Solve for x
    x = 166,187,209,436.16/410,115.20
  6. Step 6: Final answer
    x = 405,220.80

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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.