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Finding the Fourth Proportional to 313,246.46, 469,764.38 and 113,525.02

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Solution

The fourth proportional to 313,246.46, 469,764.38 and 113,525.02 is: 170,249.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,246.46 : 469,764.38 = 113,525.02 : x
  2. Step 2: Convert to fraction form
    313,246.46/469,764.38 = 113,525.02/x
  3. Step 3: Cross multiply
    313,246.46x = 469,764.38 × 113,525.02
  4. Step 4: Simplify right side
    313,246.46x = 53,330,010,634.79
  5. Step 5: Solve for x
    x = 53,330,010,634.79/313,246.46
  6. Step 6: Final answer
    x = 170,249.36

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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.