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Finding the Fourth Proportional to 313,246.74, 469,764.80 and 113,525.32

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Solution

The fourth proportional to 313,246.74, 469,764.80 and 113,525.32 is: 170,249.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,246.74 : 469,764.80 = 113,525.32 : x
  2. Step 2: Convert to fraction form
    313,246.74/469,764.80 = 113,525.32/x
  3. Step 3: Cross multiply
    313,246.74x = 469,764.80 × 113,525.32
  4. Step 4: Simplify right side
    313,246.74x = 53,330,199,244.74
  5. Step 5: Solve for x
    x = 53,330,199,244.74/313,246.74
  6. Step 6: Final answer
    x = 170,249.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.