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Finding the Fourth Proportional to 367,286.40, 550,929.60 and 209,530.80

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Solution

The fourth proportional to 367,286.40, 550,929.60 and 209,530.80 is: 314,296.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,286.40 : 550,929.60 = 209,530.80 : x
  2. Step 2: Convert to fraction form
    367,286.40/550,929.60 = 209,530.80/x
  3. Step 3: Cross multiply
    367,286.40x = 550,929.60 × 209,530.80
  4. Step 4: Simplify right side
    367,286.40x = 115,436,719,831.68
  5. Step 5: Solve for x
    x = 115,436,719,831.68/367,286.40
  6. Step 6: Final answer
    x = 314,296.20

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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.