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Finding the Fourth Proportional to 253,592.91, 380,389.50 and 206,151.48

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Solution

The fourth proportional to 253,592.91, 380,389.50 and 206,151.48 is: 309,227.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,592.91 : 380,389.50 = 206,151.48 : x
  2. Step 2: Convert to fraction form
    253,592.91/380,389.50 = 206,151.48/x
  3. Step 3: Cross multiply
    253,592.91x = 380,389.50 × 206,151.48
  4. Step 4: Simplify right side
    253,592.91x = 78,417,858,401.46
  5. Step 5: Solve for x
    x = 78,417,858,401.46/253,592.91
  6. Step 6: Final answer
    x = 309,227.33

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1.5x scale

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.