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Finding the Fourth Proportional to 509,778.01, 703,511.69 and 280,352.80

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Solution

The fourth proportional to 509,778.01, 703,511.69 and 280,352.80 is: 386,896.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,778.01 : 703,511.69 = 280,352.80 : x
  2. Step 2: Convert to fraction form
    509,778.01/703,511.69 = 280,352.80/x
  3. Step 3: Cross multiply
    509,778.01x = 703,511.69 × 280,352.80
  4. Step 4: Simplify right side
    509,778.01x = 197,231,472,124.23
  5. Step 5: Solve for x
    x = 197,231,472,124.23/509,778.01
  6. Step 6: Final answer
    x = 386,896.78

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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.