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Finding the Fourth Proportional to 344,880.42, 475,976.42 and 208,910.38

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Solution

The fourth proportional to 344,880.42, 475,976.42 and 208,910.38 is: 288,321.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,880.42 : 475,976.42 = 208,910.38 : x
  2. Step 2: Convert to fraction form
    344,880.42/475,976.42 = 208,910.38/x
  3. Step 3: Cross multiply
    344,880.42x = 475,976.42 × 208,910.38
  4. Step 4: Simplify right side
    344,880.42x = 99,436,411,348.81
  5. Step 5: Solve for x
    x = 99,436,411,348.81/344,880.42
  6. Step 6: Final answer
    x = 288,321.42

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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.