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Finding the Fourth Proportional to 367,338.80, 550,327.80 and 209,097.20

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Solution

The fourth proportional to 367,338.80, 550,327.80 and 209,097.20 is: 313,258.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,338.80 : 550,327.80 = 209,097.20 : x
  2. Step 2: Convert to fraction form
    367,338.80/550,327.80 = 209,097.20/x
  3. Step 3: Cross multiply
    367,338.80x = 550,327.80 × 209,097.20
  4. Step 4: Simplify right side
    367,338.80x = 115,072,002,062.16
  5. Step 5: Solve for x
    x = 115,072,002,062.16/367,338.80
  6. Step 6: Final answer
    x = 313,258.50

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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.