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Finding the Fourth Proportional to 313,224.40, 469,865.40 and 88,584.40

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Solution

The fourth proportional to 313,224.40, 469,865.40 and 88,584.40 is: 132,884.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,224.40 : 469,865.40 = 88,584.40 : x
  2. Step 2: Convert to fraction form
    313,224.40/469,865.40 = 88,584.40/x
  3. Step 3: Cross multiply
    313,224.40x = 469,865.40 × 88,584.40
  4. Step 4: Simplify right side
    313,224.40x = 41,622,744,539.76
  5. Step 5: Solve for x
    x = 41,622,744,539.76/313,224.40
  6. Step 6: Final answer
    x = 132,884.75

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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.