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Finding the Fourth Proportional to 299,434.50, 413,219.61 and 165,299.46

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Solution

The fourth proportional to 299,434.50, 413,219.61 and 165,299.46 is: 228,113.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,434.50 : 413,219.61 = 165,299.46 : x
  2. Step 2: Convert to fraction form
    299,434.50/413,219.61 = 165,299.46/x
  3. Step 3: Cross multiply
    299,434.50x = 413,219.61 × 165,299.46
  4. Step 4: Simplify right side
    299,434.50x = 68,304,978,394.41
  5. Step 5: Solve for x
    x = 68,304,978,394.41/299,434.50
  6. Step 6: Final answer
    x = 228,113.25

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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.