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Finding the Fourth Proportional to 377,867, 521,456.58 and 208,100.84

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Solution

The fourth proportional to 377,867, 521,456.58 and 208,100.84 is: 287,179.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,867 : 521,456.58 = 208,100.84 : x
  2. Step 2: Convert to fraction form
    377,867/521,456.58 = 208,100.84/x
  3. Step 3: Cross multiply
    377,867x = 521,456.58 × 208,100.84
  4. Step 4: Simplify right side
    377,867x = 108,515,552,321.53
  5. Step 5: Solve for x
    x = 108,515,552,321.53/377,867
  6. Step 6: Final answer
    x = 287,179.23

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1.5x scale

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.