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Finding the Fourth Proportional to 381,966.60, 573,036.30 and 224,113.80

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Solution

The fourth proportional to 381,966.60, 573,036.30 and 224,113.80 is: 336,221.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,966.60 : 573,036.30 = 224,113.80 : x
  2. Step 2: Convert to fraction form
    381,966.60/573,036.30 = 224,113.80/x
  3. Step 3: Cross multiply
    381,966.60x = 573,036.30 × 224,113.80
  4. Step 4: Simplify right side
    381,966.60x = 128,425,342,730.94
  5. Step 5: Solve for x
    x = 128,425,342,730.94/381,966.60
  6. Step 6: Final answer
    x = 336,221.39

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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.