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Finding the Fourth Proportional to 348,215.71, 522,323.73 and 229,859.38

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Solution

The fourth proportional to 348,215.71, 522,323.73 and 229,859.38 is: 344,789.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,215.71 : 522,323.73 = 229,859.38 : x
  2. Step 2: Convert to fraction form
    348,215.71/522,323.73 = 229,859.38/x
  3. Step 3: Cross multiply
    348,215.71x = 522,323.73 × 229,859.38
  4. Step 4: Simplify right side
    348,215.71x = 120,061,008,737.09
  5. Step 5: Solve for x
    x = 120,061,008,737.09/348,215.71
  6. Step 6: Final answer
    x = 344,789.18

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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.