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Finding the Fourth Proportional to 600,257.61, 827,544.87 and 385,024.01

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Solution

The fourth proportional to 600,257.61, 827,544.87 and 385,024.01 is: 530,813.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,257.61 : 827,544.87 = 385,024.01 : x
  2. Step 2: Convert to fraction form
    600,257.61/827,544.87 = 385,024.01/x
  3. Step 3: Cross multiply
    600,257.61x = 827,544.87 × 385,024.01
  4. Step 4: Simplify right side
    600,257.61x = 318,624,640,164.60
  5. Step 5: Solve for x
    x = 318,624,640,164.60/600,257.61
  6. Step 6: Final answer
    x = 530,813.16

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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.