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Finding the Fourth Proportional to 367,324.50, 506,880 and 206,148.43

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Solution

The fourth proportional to 367,324.50, 506,880 and 206,148.43 is: 284,469.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,324.50 : 506,880 = 206,148.43 : x
  2. Step 2: Convert to fraction form
    367,324.50/506,880 = 206,148.43/x
  3. Step 3: Cross multiply
    367,324.50x = 506,880 × 206,148.43
  4. Step 4: Simplify right side
    367,324.50x = 104,492,514,931.20
  5. Step 5: Solve for x
    x = 104,492,514,931.20/367,324.50
  6. Step 6: Final answer
    x = 284,469.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.