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Finding the Fourth Proportional to 382,498.85, 573,223.39 and 242,005.97

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Solution

The fourth proportional to 382,498.85, 573,223.39 and 242,005.97 is: 362,676.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,498.85 : 573,223.39 = 242,005.97 : x
  2. Step 2: Convert to fraction form
    382,498.85/573,223.39 = 242,005.97/x
  3. Step 3: Cross multiply
    382,498.85x = 573,223.39 × 242,005.97
  4. Step 4: Simplify right side
    382,498.85x = 138,723,482,523.64
  5. Step 5: Solve for x
    x = 138,723,482,523.64/382,498.85
  6. Step 6: Final answer
    x = 362,676.86

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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.