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Finding the Fourth Proportional to 331,620.64, 497,527.85 and 106,976.12

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Solution

The fourth proportional to 331,620.64, 497,527.85 and 106,976.12 is: 160,495.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,620.64 : 497,527.85 = 106,976.12 : x
  2. Step 2: Convert to fraction form
    331,620.64/497,527.85 = 106,976.12/x
  3. Step 3: Cross multiply
    331,620.64x = 497,527.85 × 106,976.12
  4. Step 4: Simplify right side
    331,620.64x = 53,223,596,764.74
  5. Step 5: Solve for x
    x = 53,223,596,764.74/331,620.64
  6. Step 6: Final answer
    x = 160,495.43

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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.