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Finding the Fourth Proportional to 493,216.87, 680,566.31 and 299,523.85

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Solution

The fourth proportional to 493,216.87, 680,566.31 and 299,523.85 is: 413,298.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,216.87 : 680,566.31 = 299,523.85 : x
  2. Step 2: Convert to fraction form
    493,216.87/680,566.31 = 299,523.85/x
  3. Step 3: Cross multiply
    493,216.87x = 680,566.31 × 299,523.85
  4. Step 4: Simplify right side
    493,216.87x = 203,845,839,853.87
  5. Step 5: Solve for x
    x = 203,845,839,853.87/493,216.87
  6. Step 6: Final answer
    x = 413,298.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.