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Finding the Fourth Proportional to 341,513.86, 471,286.93 and 188,561.59

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Solution

The fourth proportional to 341,513.86, 471,286.93 and 188,561.59 is: 260,213.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,513.86 : 471,286.93 = 188,561.59 : x
  2. Step 2: Convert to fraction form
    341,513.86/471,286.93 = 188,561.59/x
  3. Step 3: Cross multiply
    341,513.86x = 471,286.93 × 188,561.59
  4. Step 4: Simplify right side
    341,513.86x = 88,866,612,867.02
  5. Step 5: Solve for x
    x = 88,866,612,867.02/341,513.86
  6. Step 6: Final answer
    x = 260,213.78

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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.