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Finding the Fourth Proportional to 343,706.20, 514,976.10 and 284,219.80

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Solution

The fourth proportional to 343,706.20, 514,976.10 and 284,219.80 is: 425,847.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,706.20 : 514,976.10 = 284,219.80 : x
  2. Step 2: Convert to fraction form
    343,706.20/514,976.10 = 284,219.80/x
  3. Step 3: Cross multiply
    343,706.20x = 514,976.10 × 284,219.80
  4. Step 4: Simplify right side
    343,706.20x = 146,366,404,146.78
  5. Step 5: Solve for x
    x = 146,366,404,146.78/343,706.20
  6. Step 6: Final answer
    x = 425,847.44

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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.