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Finding the Fourth Proportional to 344,835.87, 475,802.17 and 201,568.20

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Solution

The fourth proportional to 344,835.87, 475,802.17 and 201,568.20 is: 278,122.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,835.87 : 475,802.17 = 201,568.20 : x
  2. Step 2: Convert to fraction form
    344,835.87/475,802.17 = 201,568.20/x
  3. Step 3: Cross multiply
    344,835.87x = 475,802.17 × 201,568.20
  4. Step 4: Simplify right side
    344,835.87x = 95,906,586,962.99
  5. Step 5: Solve for x
    x = 95,906,586,962.99/344,835.87
  6. Step 6: Final answer
    x = 278,122.42

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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.