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Finding the Fourth Proportional to 471,851.43, 707,889.38 and 152,033.56

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Solution

The fourth proportional to 471,851.43, 707,889.38 and 152,033.56 is: 228,086.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,851.43 : 707,889.38 = 152,033.56 : x
  2. Step 2: Convert to fraction form
    471,851.43/707,889.38 = 152,033.56/x
  3. Step 3: Cross multiply
    471,851.43x = 707,889.38 × 152,033.56
  4. Step 4: Simplify right side
    471,851.43x = 107,622,939,997.70
  5. Step 5: Solve for x
    x = 107,622,939,997.70/471,851.43
  6. Step 6: Final answer
    x = 228,086.50

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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.