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Finding the Fourth Proportional to 502,716.24, 693,695.34 and 287,836.20

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Solution

The fourth proportional to 502,716.24, 693,695.34 and 287,836.20 is: 397,183.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,716.24 : 693,695.34 = 287,836.20 : x
  2. Step 2: Convert to fraction form
    502,716.24/693,695.34 = 287,836.20/x
  3. Step 3: Cross multiply
    502,716.24x = 693,695.34 × 287,836.20
  4. Step 4: Simplify right side
    502,716.24x = 199,670,630,623.31
  5. Step 5: Solve for x
    x = 199,670,630,623.31/502,716.24
  6. Step 6: Final answer
    x = 397,183.57

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