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Finding the Fourth Proportional to 474,464.30, 711,696.92 and 193,981.55

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Solution

The fourth proportional to 474,464.30, 711,696.92 and 193,981.55 is: 290,972.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,464.30 : 711,696.92 = 193,981.55 : x
  2. Step 2: Convert to fraction form
    474,464.30/711,696.92 = 193,981.55/x
  3. Step 3: Cross multiply
    474,464.30x = 711,696.92 × 193,981.55
  4. Step 4: Simplify right side
    474,464.30x = 138,056,067,143.43
  5. Step 5: Solve for x
    x = 138,056,067,143.43/474,464.30
  6. Step 6: Final answer
    x = 290,972.51

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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.