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Finding the Fourth Proportional to 471,334.52, 707,112.48 and 155,791.40

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Solution

The fourth proportional to 471,334.52, 707,112.48 and 155,791.40 is: 233,723.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,334.52 : 707,112.48 = 155,791.40 : x
  2. Step 2: Convert to fraction form
    471,334.52/707,112.48 = 155,791.40/x
  3. Step 3: Cross multiply
    471,334.52x = 707,112.48 × 155,791.40
  4. Step 4: Simplify right side
    471,334.52x = 110,162,043,216.67
  5. Step 5: Solve for x
    x = 110,162,043,216.67/471,334.52
  6. Step 6: Final answer
    x = 233,723.69

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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.