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Finding the Fourth Proportional to 299,219.12, 412,922.16 and 165,083.12

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Solution

The fourth proportional to 299,219.12, 412,922.16 and 165,083.12 is: 227,814.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,219.12 : 412,922.16 = 165,083.12 : x
  2. Step 2: Convert to fraction form
    299,219.12/412,922.16 = 165,083.12/x
  3. Step 3: Cross multiply
    299,219.12x = 412,922.16 × 165,083.12
  4. Step 4: Simplify right side
    299,219.12x = 68,166,478,489.94
  5. Step 5: Solve for x
    x = 68,166,478,489.94/299,219.12
  6. Step 6: Final answer
    x = 227,814.58

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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.