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Finding the Fourth Proportional to 299,047.89, 412,680.92 and 163,082.91

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Solution

The fourth proportional to 299,047.89, 412,680.92 and 163,082.91 is: 225,051.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,047.89 : 412,680.92 = 163,082.91 : x
  2. Step 2: Convert to fraction form
    299,047.89/412,680.92 = 163,082.91/x
  3. Step 3: Cross multiply
    299,047.89x = 412,680.92 × 163,082.91
  4. Step 4: Simplify right side
    299,047.89x = 67,301,204,519.66
  5. Step 5: Solve for x
    x = 67,301,204,519.66/299,047.89
  6. Step 6: Final answer
    x = 225,051.59

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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.