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Finding the Fourth Proportional to 471,232.86, 706,834.24 and 151,383.42

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Solution

The fourth proportional to 471,232.86, 706,834.24 and 151,383.42 is: 227,070.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,232.86 : 706,834.24 = 151,383.42 : x
  2. Step 2: Convert to fraction form
    471,232.86/706,834.24 = 151,383.42/x
  3. Step 3: Cross multiply
    471,232.86x = 706,834.24 × 151,383.42
  4. Step 4: Simplify right side
    471,232.86x = 107,002,986,020.93
  5. Step 5: Solve for x
    x = 107,002,986,020.93/471,232.86
  6. Step 6: Final answer
    x = 227,070.30

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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.