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Finding the Fourth Proportional to 600,105.36, 827,392.68 and 384,865.68

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Solution

The fourth proportional to 600,105.36, 827,392.68 and 384,865.68 is: 530,631.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,105.36 : 827,392.68 = 384,865.68 : x
  2. Step 2: Convert to fraction form
    600,105.36/827,392.68 = 384,865.68/x
  3. Step 3: Cross multiply
    600,105.36x = 827,392.68 × 384,865.68
  4. Step 4: Simplify right side
    600,105.36x = 318,435,046,415.22
  5. Step 5: Solve for x
    x = 318,435,046,415.22/600,105.36
  6. Step 6: Final answer
    x = 530,631.90

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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.