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Finding the Fourth Proportional to 299,141.76, 413,353.22 and 227,397.23

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Solution

The fourth proportional to 299,141.76, 413,353.22 and 227,397.23 is: 314,216.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,141.76 : 413,353.22 = 227,397.23 : x
  2. Step 2: Convert to fraction form
    299,141.76/413,353.22 = 227,397.23/x
  3. Step 3: Cross multiply
    299,141.76x = 413,353.22 × 227,397.23
  4. Step 4: Simplify right side
    299,141.76x = 93,995,376,022.23
  5. Step 5: Solve for x
    x = 93,995,376,022.23/299,141.76
  6. Step 6: Final answer
    x = 314,216.83

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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.