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Finding the Fourth Proportional to 312,744.48, 469,234.80 and 188,172.96

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Solution

The fourth proportional to 312,744.48, 469,234.80 and 188,172.96 is: 282,330.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,744.48 : 469,234.80 = 188,172.96 : x
  2. Step 2: Convert to fraction form
    312,744.48/469,234.80 = 188,172.96/x
  3. Step 3: Cross multiply
    312,744.48x = 469,234.80 × 188,172.96
  4. Step 4: Simplify right side
    312,744.48x = 88,297,301,251.01
  5. Step 5: Solve for x
    x = 88,297,301,251.01/312,744.48
  6. Step 6: Final answer
    x = 282,330.49

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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.