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Finding the Fourth Proportional to 381,976.60, 573,051.30 and 224,123.80

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Solution

The fourth proportional to 381,976.60, 573,051.30 and 224,123.80 is: 336,236.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,976.60 : 573,051.30 = 224,123.80 : x
  2. Step 2: Convert to fraction form
    381,976.60/573,051.30 = 224,123.80/x
  3. Step 3: Cross multiply
    381,976.60x = 573,051.30 × 224,123.80
  4. Step 4: Simplify right side
    381,976.60x = 128,434,434,950.94
  5. Step 5: Solve for x
    x = 128,434,434,950.94/381,976.60
  6. Step 6: Final answer
    x = 336,236.39

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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.