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Finding the Fourth Proportional to 367,638.90, 551,458.35 and 209,883.30

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Solution

The fourth proportional to 367,638.90, 551,458.35 and 209,883.30 is: 314,824.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,638.90 : 551,458.35 = 209,883.30 : x
  2. Step 2: Convert to fraction form
    367,638.90/551,458.35 = 209,883.30/x
  3. Step 3: Cross multiply
    367,638.90x = 551,458.35 × 209,883.30
  4. Step 4: Simplify right side
    367,638.90x = 115,741,898,310.56
  5. Step 5: Solve for x
    x = 115,741,898,310.56/367,638.90
  6. Step 6: Final answer
    x = 314,824.95

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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.