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Finding the Fourth Proportional to 264,233.84, 364,945.60 and 173,993.28

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Solution

The fourth proportional to 264,233.84, 364,945.60 and 173,993.28 is: 240,310.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,233.84 : 364,945.60 = 173,993.28 : x
  2. Step 2: Convert to fraction form
    264,233.84/364,945.60 = 173,993.28/x
  3. Step 3: Cross multiply
    264,233.84x = 364,945.60 × 173,993.28
  4. Step 4: Simplify right side
    264,233.84x = 63,498,081,965.57
  5. Step 5: Solve for x
    x = 63,498,081,965.57/264,233.84
  6. Step 6: Final answer
    x = 240,310.18

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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.