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Finding the Fourth Proportional to 367,694.40, 551,149.20 and 209,582.40

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Solution

The fourth proportional to 367,694.40, 551,149.20 and 209,582.40 is: 314,149.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,694.40 : 551,149.20 = 209,582.40 : x
  2. Step 2: Convert to fraction form
    367,694.40/551,149.20 = 209,582.40/x
  3. Step 3: Cross multiply
    367,694.40x = 551,149.20 × 209,582.40
  4. Step 4: Simplify right side
    367,694.40x = 115,511,172,094.08
  5. Step 5: Solve for x
    x = 115,511,172,094.08/367,694.40
  6. Step 6: Final answer
    x = 314,149.94

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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.