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Finding the Fourth Proportional to 471,815.91, 707,214.78 and 231,650.49

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Solution

The fourth proportional to 471,815.91, 707,214.78 and 231,650.49 is: 347,225.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,815.91 : 707,214.78 = 231,650.49 : x
  2. Step 2: Convert to fraction form
    471,815.91/707,214.78 = 231,650.49/x
  3. Step 3: Cross multiply
    471,815.91x = 707,214.78 × 231,650.49
  4. Step 4: Simplify right side
    471,815.91x = 163,826,650,322.24
  5. Step 5: Solve for x
    x = 163,826,650,322.24/471,815.91
  6. Step 6: Final answer
    x = 347,225.79

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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.