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Finding the Fourth Proportional to 483,503.10, 724,257.94 and 283,216.27

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Solution

The fourth proportional to 483,503.10, 724,257.94 and 283,216.27 is: 424,240.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,503.10 : 724,257.94 = 283,216.27 : x
  2. Step 2: Convert to fraction form
    483,503.10/724,257.94 = 283,216.27/x
  3. Step 3: Cross multiply
    483,503.10x = 724,257.94 × 283,216.27
  4. Step 4: Simplify right side
    483,503.10x = 205,121,632,284.68
  5. Step 5: Solve for x
    x = 205,121,632,284.68/483,503.10
  6. Step 6: Final answer
    x = 424,240.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.