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Finding the Fourth Proportional to 500,797.76, 691,033.28 and 285,924.16

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Solution

The fourth proportional to 500,797.76, 691,033.28 and 285,924.16 is: 394,536.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,797.76 : 691,033.28 = 285,924.16 : x
  2. Step 2: Convert to fraction form
    500,797.76/691,033.28 = 285,924.16/x
  3. Step 3: Cross multiply
    500,797.76x = 691,033.28 × 285,924.16
  4. Step 4: Simplify right side
    500,797.76x = 197,583,110,116.05
  5. Step 5: Solve for x
    x = 197,583,110,116.05/500,797.76
  6. Step 6: Final answer
    x = 394,536.73

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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.