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Finding the Fourth Proportional to 299,235.12, 412,944.24 and 165,099.12

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Solution

The fourth proportional to 299,235.12, 412,944.24 and 165,099.12 is: 227,836.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,235.12 : 412,944.24 = 165,099.12 : x
  2. Step 2: Convert to fraction form
    299,235.12/412,944.24 = 165,099.12/x
  3. Step 3: Cross multiply
    299,235.12x = 412,944.24 × 165,099.12
  4. Step 4: Simplify right side
    299,235.12x = 68,176,730,633.07
  5. Step 5: Solve for x
    x = 68,176,730,633.07/299,235.12
  6. Step 6: Final answer
    x = 227,836.66

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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.