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Finding the Fourth Proportional to 348,120.20, 521,402.70 and 285,912.20

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Solution

The fourth proportional to 348,120.20, 521,402.70 and 285,912.20 is: 428,229.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,120.20 : 521,402.70 = 285,912.20 : x
  2. Step 2: Convert to fraction form
    348,120.20/521,402.70 = 285,912.20/x
  3. Step 3: Cross multiply
    348,120.20x = 521,402.70 × 285,912.20
  4. Step 4: Simplify right side
    348,120.20x = 149,075,393,042.94
  5. Step 5: Solve for x
    x = 149,075,393,042.94/348,120.20
  6. Step 6: Final answer
    x = 428,229.65

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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.