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Finding the Fourth Proportional to 382,500.85, 573,226.39 and 242,007.97

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Solution

The fourth proportional to 382,500.85, 573,226.39 and 242,007.97 is: 362,679.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,500.85 : 573,226.39 = 242,007.97 : x
  2. Step 2: Convert to fraction form
    382,500.85/573,226.39 = 242,007.97/x
  3. Step 3: Cross multiply
    382,500.85x = 573,226.39 × 242,007.97
  4. Step 4: Simplify right side
    382,500.85x = 138,725,354,994.33
  5. Step 5: Solve for x
    x = 138,725,354,994.33/382,500.85
  6. Step 6: Final answer
    x = 362,679.86

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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.