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Finding the Fourth Proportional to 367,638.40, 551,457.60 and 209,882.80

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Solution

The fourth proportional to 367,638.40, 551,457.60 and 209,882.80 is: 314,824.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,638.40 : 551,457.60 = 209,882.80 : x
  2. Step 2: Convert to fraction form
    367,638.40/551,457.60 = 209,882.80/x
  3. Step 3: Cross multiply
    367,638.40x = 551,457.60 × 209,882.80
  4. Step 4: Simplify right side
    367,638.40x = 115,741,465,169.28
  5. Step 5: Solve for x
    x = 115,741,465,169.28/367,638.40
  6. Step 6: Final answer
    x = 314,824.20

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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.