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Finding the Fourth Proportional to 344,712.60, 475,509.08 and 206,855.85

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Solution

The fourth proportional to 344,712.60, 475,509.08 and 206,855.85 is: 285,344.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,712.60 : 475,509.08 = 206,855.85 : x
  2. Step 2: Convert to fraction form
    344,712.60/475,509.08 = 206,855.85/x
  3. Step 3: Cross multiply
    344,712.60x = 475,509.08 × 206,855.85
  4. Step 4: Simplify right side
    344,712.60x = 98,361,833,891.84
  5. Step 5: Solve for x
    x = 98,361,833,891.84/344,712.60
  6. Step 6: Final answer
    x = 285,344.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.