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Finding the Fourth Proportional to 471,231.17, 706,912.46 and 151,392.75

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Solution

The fourth proportional to 471,231.17, 706,912.46 and 151,392.75 is: 227,110.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,231.17 : 706,912.46 = 151,392.75 : x
  2. Step 2: Convert to fraction form
    471,231.17/706,912.46 = 151,392.75/x
  3. Step 3: Cross multiply
    471,231.17x = 706,912.46 × 151,392.75
  4. Step 4: Simplify right side
    471,231.17x = 107,021,421,328.67
  5. Step 5: Solve for x
    x = 107,021,421,328.67/471,231.17
  6. Step 6: Final answer
    x = 227,110.23

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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.