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Finding the Fourth Proportional to 509,635.37, 703,297.26 and 280,196.55

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Solution

The fourth proportional to 509,635.37, 703,297.26 and 280,196.55 is: 386,671.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,635.37 : 703,297.26 = 280,196.55 : x
  2. Step 2: Convert to fraction form
    509,635.37/703,297.26 = 280,196.55/x
  3. Step 3: Cross multiply
    509,635.37x = 703,297.26 × 280,196.55
  4. Step 4: Simplify right side
    509,635.37x = 197,061,465,876.45
  5. Step 5: Solve for x
    x = 197,061,465,876.45/509,635.37
  6. Step 6: Final answer
    x = 386,671.48

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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.