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Finding the Fourth Proportional to 299,812.72, 413,742.64 and 163,846.73

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Solution

The fourth proportional to 299,812.72, 413,742.64 and 163,846.73 is: 226,109.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,812.72 : 413,742.64 = 163,846.73 : x
  2. Step 2: Convert to fraction form
    299,812.72/413,742.64 = 163,846.73/x
  3. Step 3: Cross multiply
    299,812.72x = 413,742.64 × 163,846.73
  4. Step 4: Simplify right side
    299,812.72x = 67,790,377,806.33
  5. Step 5: Solve for x
    x = 67,790,377,806.33/299,812.72
  6. Step 6: Final answer
    x = 226,109.08

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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.