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Finding the Fourth Proportional to 367,733.40, 551,207.70 and 209,621.40

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Solution

The fourth proportional to 367,733.40, 551,207.70 and 209,621.40 is: 314,208.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,733.40 : 551,207.70 = 209,621.40 : x
  2. Step 2: Convert to fraction form
    367,733.40/551,207.70 = 209,621.40/x
  3. Step 3: Cross multiply
    367,733.40x = 551,207.70 × 209,621.40
  4. Step 4: Simplify right side
    367,733.40x = 115,544,929,764.78
  5. Step 5: Solve for x
    x = 115,544,929,764.78/367,733.40
  6. Step 6: Final answer
    x = 314,208.42

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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.