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Finding the Fourth Proportional to 334,990.50, 462,286.89 and 184,087.50

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Solution

The fourth proportional to 334,990.50, 462,286.89 and 184,087.50 is: 254,040.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,990.50 : 462,286.89 = 184,087.50 : x
  2. Step 2: Convert to fraction form
    334,990.50/462,286.89 = 184,087.50/x
  3. Step 3: Cross multiply
    334,990.50x = 462,286.89 × 184,087.50
  4. Step 4: Simplify right side
    334,990.50x = 85,101,237,862.88
  5. Step 5: Solve for x
    x = 85,101,237,862.88/334,990.50
  6. Step 6: Final answer
    x = 254,040.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.