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Finding the Fourth Proportional to 509,626.54, 703,285.07 and 280,187.73

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Solution

The fourth proportional to 509,626.54, 703,285.07 and 280,187.73 is: 386,659.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,626.54 : 703,285.07 = 280,187.73 : x
  2. Step 2: Convert to fraction form
    509,626.54/703,285.07 = 280,187.73/x
  3. Step 3: Cross multiply
    509,626.54x = 703,285.07 × 280,187.73
  4. Step 4: Simplify right side
    509,626.54x = 197,051,847,306.19
  5. Step 5: Solve for x
    x = 197,051,847,306.19/509,626.54
  6. Step 6: Final answer
    x = 386,659.31

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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.