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Finding the Fourth Proportional to 347,375.76, 479,399.67 and 194,410.83

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Solution

The fourth proportional to 347,375.76, 479,399.67 and 194,410.83 is: 268,298.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,375.76 : 479,399.67 = 194,410.83 : x
  2. Step 2: Convert to fraction form
    347,375.76/479,399.67 = 194,410.83/x
  3. Step 3: Cross multiply
    347,375.76x = 479,399.67 × 194,410.83
  4. Step 4: Simplify right side
    347,375.76x = 93,200,487,746.43
  5. Step 5: Solve for x
    x = 93,200,487,746.43/347,375.76
  6. Step 6: Final answer
    x = 268,298.77

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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.