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Finding the Fourth Proportional to 299,576.41, 413,417.87 and 165,440.41

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Solution

The fourth proportional to 299,576.41, 413,417.87 and 165,440.41 is: 228,309.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,576.41 : 413,417.87 = 165,440.41 : x
  2. Step 2: Convert to fraction form
    299,576.41/413,417.87 = 165,440.41/x
  3. Step 3: Cross multiply
    299,576.41x = 413,417.87 × 165,440.41
  4. Step 4: Simplify right side
    299,576.41x = 68,396,021,086.92
  5. Step 5: Solve for x
    x = 68,396,021,086.92/299,576.41
  6. Step 6: Final answer
    x = 228,309.10

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1.5x scale

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.