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Finding the Fourth Proportional to 408,097.20, 611,548.20 and 365,977.20

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Solution

The fourth proportional to 408,097.20, 611,548.20 and 365,977.20 is: 548,429.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,097.20 : 611,548.20 = 365,977.20 : x
  2. Step 2: Convert to fraction form
    408,097.20/611,548.20 = 365,977.20/x
  3. Step 3: Cross multiply
    408,097.20x = 611,548.20 × 365,977.20
  4. Step 4: Simplify right side
    408,097.20x = 223,812,697,901.04
  5. Step 5: Solve for x
    x = 223,812,697,901.04/408,097.20
  6. Step 6: Final answer
    x = 548,429.88

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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.