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Finding the Fourth Proportional to 299,224.72, 412,983.53 and 178,373.73

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Solution

The fourth proportional to 299,224.72, 412,983.53 and 178,373.73 is: 246,187.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,224.72 : 412,983.53 = 178,373.73 : x
  2. Step 2: Convert to fraction form
    299,224.72/412,983.53 = 178,373.73/x
  3. Step 3: Cross multiply
    299,224.72x = 412,983.53 × 178,373.73
  4. Step 4: Simplify right side
    299,224.72x = 73,665,412,674.67
  5. Step 5: Solve for x
    x = 73,665,412,674.67/299,224.72
  6. Step 6: Final answer
    x = 246,187.59

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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.