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Finding the Fourth Proportional to 463,151.85, 694,364.85 and 182,878.89

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Solution

The fourth proportional to 463,151.85, 694,364.85 and 182,878.89 is: 274,175.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,151.85 : 694,364.85 = 182,878.89 : x
  2. Step 2: Convert to fraction form
    463,151.85/694,364.85 = 182,878.89/x
  3. Step 3: Cross multiply
    463,151.85x = 694,364.85 × 182,878.89
  4. Step 4: Simplify right side
    463,151.85x = 126,984,673,023.02
  5. Step 5: Solve for x
    x = 126,984,673,023.02/463,151.85
  6. Step 6: Final answer
    x = 274,175.03

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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.