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Finding the Fourth Proportional to 299,076.72, 412,723.80 and 164,940.72

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Solution

The fourth proportional to 299,076.72, 412,723.80 and 164,940.72 is: 227,617.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,076.72 : 412,723.80 = 164,940.72 : x
  2. Step 2: Convert to fraction form
    299,076.72/412,723.80 = 164,940.72/x
  3. Step 3: Cross multiply
    299,076.72x = 412,723.80 × 164,940.72
  4. Step 4: Simplify right side
    299,076.72x = 68,074,960,733.14
  5. Step 5: Solve for x
    x = 68,074,960,733.14/299,076.72
  6. Step 6: Final answer
    x = 227,617.05

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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.