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Finding the Fourth Proportional to 313,301.54, 469,961.42 and 76,644.14

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Solution

The fourth proportional to 313,301.54, 469,961.42 and 76,644.14 is: 114,968.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,301.54 : 469,961.42 = 76,644.14 : x
  2. Step 2: Convert to fraction form
    313,301.54/469,961.42 = 76,644.14/x
  3. Step 3: Cross multiply
    313,301.54x = 469,961.42 × 76,644.14
  4. Step 4: Simplify right side
    313,301.54x = 36,019,788,995.15
  5. Step 5: Solve for x
    x = 36,019,788,995.15/313,301.54
  6. Step 6: Final answer
    x = 114,968.44

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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.