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Finding the Fourth Proportional to 311,864.96, 467,399.72 and 151,979.06

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Solution

The fourth proportional to 311,864.96, 467,399.72 and 151,979.06 is: 227,774.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,864.96 : 467,399.72 = 151,979.06 : x
  2. Step 2: Convert to fraction form
    311,864.96/467,399.72 = 151,979.06/x
  3. Step 3: Cross multiply
    311,864.96x = 467,399.72 × 151,979.06
  4. Step 4: Simplify right side
    311,864.96x = 71,034,970,089.86
  5. Step 5: Solve for x
    x = 71,034,970,089.86/311,864.96
  6. Step 6: Final answer
    x = 227,774.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.