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Finding the Fourth Proportional to 315,716.80, 473,553.60 and 102,481.60

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Solution

The fourth proportional to 315,716.80, 473,553.60 and 102,481.60 is: 153,715.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,716.80 : 473,553.60 = 102,481.60 : x
  2. Step 2: Convert to fraction form
    315,716.80/473,553.60 = 102,481.60/x
  3. Step 3: Cross multiply
    315,716.80x = 473,553.60 × 102,481.60
  4. Step 4: Simplify right side
    315,716.80x = 48,530,530,613.76
  5. Step 5: Solve for x
    x = 48,530,530,613.76/315,716.80
  6. Step 6: Final answer
    x = 153,715.39

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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.