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Finding the Fourth Proportional to 313,363.62, 469,905.84 and 100,092.24

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Solution

The fourth proportional to 313,363.62, 469,905.84 and 100,092.24 is: 150,093.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,363.62 : 469,905.84 = 100,092.24 : x
  2. Step 2: Convert to fraction form
    313,363.62/469,905.84 = 100,092.24/x
  3. Step 3: Cross multiply
    313,363.62x = 469,905.84 × 100,092.24
  4. Step 4: Simplify right side
    313,363.62x = 47,033,928,114.68
  5. Step 5: Solve for x
    x = 47,033,928,114.68/313,363.62
  6. Step 6: Final answer
    x = 150,093.77

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1.5x scale

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.