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Finding the Fourth Proportional to 348,065.20, 521,320.20 and 285,857.20

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Solution

The fourth proportional to 348,065.20, 521,320.20 and 285,857.20 is: 428,147.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,065.20 : 521,320.20 = 285,857.20 : x
  2. Step 2: Convert to fraction form
    348,065.20/521,320.20 = 285,857.20/x
  3. Step 3: Cross multiply
    348,065.20x = 521,320.20 × 285,857.20
  4. Step 4: Simplify right side
    348,065.20x = 149,023,132,675.44
  5. Step 5: Solve for x
    x = 149,023,132,675.44/348,065.20
  6. Step 6: Final answer
    x = 428,147.18

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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.