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Finding the Fourth Proportional to 284,262.67, 426,616.85 and 198,314.61

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Solution

The fourth proportional to 284,262.67, 426,616.85 and 198,314.61 is: 297,627.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,262.67 : 426,616.85 = 198,314.61 : x
  2. Step 2: Convert to fraction form
    284,262.67/426,616.85 = 198,314.61/x
  3. Step 3: Cross multiply
    284,262.67x = 426,616.85 × 198,314.61
  4. Step 4: Simplify right side
    284,262.67x = 84,604,354,227.18
  5. Step 5: Solve for x
    x = 84,604,354,227.18/284,262.67
  6. Step 6: Final answer
    x = 297,627.38

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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.