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Finding the Fourth Proportional to 313,247, 469,765.18 and 113,525.56

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Solution

The fourth proportional to 313,247, 469,765.18 and 113,525.56 is: 170,250.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,247 : 469,765.18 = 113,525.56 : x
  2. Step 2: Convert to fraction form
    313,247/469,765.18 = 113,525.56/x
  3. Step 3: Cross multiply
    313,247x = 469,765.18 × 113,525.56
  4. Step 4: Simplify right side
    313,247x = 53,330,355,128.00
  5. Step 5: Solve for x
    x = 53,330,355,128.00/313,247
  6. Step 6: Final answer
    x = 170,250.17

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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.