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Finding the Fourth Proportional to 310,268.84, 465,249.98 and 182,217.24

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Solution

The fourth proportional to 310,268.84, 465,249.98 and 182,217.24 is: 273,235.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,268.84 : 465,249.98 = 182,217.24 : x
  2. Step 2: Convert to fraction form
    310,268.84/465,249.98 = 182,217.24/x
  3. Step 3: Cross multiply
    310,268.84x = 465,249.98 × 182,217.24
  4. Step 4: Simplify right side
    310,268.84x = 84,776,567,265.66
  5. Step 5: Solve for x
    x = 84,776,567,265.66/310,268.84
  6. Step 6: Final answer
    x = 273,235.84

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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.