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Finding the Fourth Proportional to 345,892.30, 477,288.92 and 192,894.64

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Solution

The fourth proportional to 345,892.30, 477,288.92 and 192,894.64 is: 266,170.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,892.30 : 477,288.92 = 192,894.64 : x
  2. Step 2: Convert to fraction form
    345,892.30/477,288.92 = 192,894.64/x
  3. Step 3: Cross multiply
    345,892.30x = 477,288.92 × 192,894.64
  4. Step 4: Simplify right side
    345,892.30x = 92,066,474,399.39
  5. Step 5: Solve for x
    x = 92,066,474,399.39/345,892.30
  6. Step 6: Final answer
    x = 266,170.93

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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.