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Finding the Fourth Proportional to 325,286.86, 487,808.94 and 111,994.53

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Solution

The fourth proportional to 325,286.86, 487,808.94 and 111,994.53 is: 167,950.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,286.86 : 487,808.94 = 111,994.53 : x
  2. Step 2: Convert to fraction form
    325,286.86/487,808.94 = 111,994.53/x
  3. Step 3: Cross multiply
    325,286.86x = 487,808.94 × 111,994.53
  4. Step 4: Simplify right side
    325,286.86x = 54,631,932,965.10
  5. Step 5: Solve for x
    x = 54,631,932,965.10/325,286.86
  6. Step 6: Final answer
    x = 167,950.01

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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.