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Finding the Fourth Proportional to 313,208.28, 469,808.37 and 76,553.01

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Solution

The fourth proportional to 313,208.28, 469,808.37 and 76,553.01 is: 114,828.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,208.28 : 469,808.37 = 76,553.01 : x
  2. Step 2: Convert to fraction form
    313,208.28/469,808.37 = 76,553.01/x
  3. Step 3: Cross multiply
    313,208.28x = 469,808.37 × 76,553.01
  4. Step 4: Simplify right side
    313,208.28x = 35,965,244,846.69
  5. Step 5: Solve for x
    x = 35,965,244,846.69/313,208.28
  6. Step 6: Final answer
    x = 114,828.53

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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.