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Finding the Fourth Proportional to 313,224.52, 469,683.60 and 218,500

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Solution

The fourth proportional to 313,224.52, 469,683.60 and 218,500 is: 327,643.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,224.52 : 469,683.60 = 218,500 : x
  2. Step 2: Convert to fraction form
    313,224.52/469,683.60 = 218,500/x
  3. Step 3: Cross multiply
    313,224.52x = 469,683.60 × 218,500
  4. Step 4: Simplify right side
    313,224.52x = 102,625,866,600
  5. Step 5: Solve for x
    x = 102,625,866,600/313,224.52
  6. Step 6: Final answer
    x = 327,643.14

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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.