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Finding the Fourth Proportional to 348,043.20, 521,287.20 and 285,835.20

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Solution

The fourth proportional to 348,043.20, 521,287.20 and 285,835.20 is: 428,114.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,043.20 : 521,287.20 = 285,835.20 : x
  2. Step 2: Convert to fraction form
    348,043.20/521,287.20 = 285,835.20/x
  3. Step 3: Cross multiply
    348,043.20x = 521,287.20 × 285,835.20
  4. Step 4: Simplify right side
    348,043.20x = 149,002,231,069.44
  5. Step 5: Solve for x
    x = 149,002,231,069.44/348,043.20
  6. Step 6: Final answer
    x = 428,114.19

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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.