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Finding the Fourth Proportional to 344,969.78, 476,057.56 and 194,066.78

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Solution

The fourth proportional to 344,969.78, 476,057.56 and 194,066.78 is: 267,811.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,969.78 : 476,057.56 = 194,066.78 : x
  2. Step 2: Convert to fraction form
    344,969.78/476,057.56 = 194,066.78/x
  3. Step 3: Cross multiply
    344,969.78x = 476,057.56 × 194,066.78
  4. Step 4: Simplify right side
    344,969.78x = 92,386,957,763.86
  5. Step 5: Solve for x
    x = 92,386,957,763.86/344,969.78
  6. Step 6: Final answer
    x = 267,811.74

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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.