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Finding the Fourth Proportional to 299,240.50, 412,951.89 and 165,104.50

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Solution

The fourth proportional to 299,240.50, 412,951.89 and 165,104.50 is: 227,844.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,240.50 : 412,951.89 = 165,104.50 : x
  2. Step 2: Convert to fraction form
    299,240.50/412,951.89 = 165,104.50/x
  3. Step 3: Cross multiply
    299,240.50x = 412,951.89 × 165,104.50
  4. Step 4: Simplify right side
    299,240.50x = 68,180,215,322.51
  5. Step 5: Solve for x
    x = 68,180,215,322.51/299,240.50
  6. Step 6: Final answer
    x = 227,844.21

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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.