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Finding the Fourth Proportional to 367,380.32, 550,544.24 and 209,282.32

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Solution

The fourth proportional to 367,380.32, 550,544.24 and 209,282.32 is: 313,623.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,380.32 : 550,544.24 = 209,282.32 : x
  2. Step 2: Convert to fraction form
    367,380.32/550,544.24 = 209,282.32/x
  3. Step 3: Cross multiply
    367,380.32x = 550,544.24 × 209,282.32
  4. Step 4: Simplify right side
    367,380.32x = 115,219,175,809.84
  5. Step 5: Solve for x
    x = 115,219,175,809.84/367,380.32
  6. Step 6: Final answer
    x = 313,623.70

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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.