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Finding the Fourth Proportional to 378,084.22, 521,737.14 and 208,314.70

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Solution

The fourth proportional to 378,084.22, 521,737.14 and 208,314.70 is: 287,463.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,084.22 : 521,737.14 = 208,314.70 : x
  2. Step 2: Convert to fraction form
    378,084.22/521,737.14 = 208,314.70/x
  3. Step 3: Cross multiply
    378,084.22x = 521,737.14 × 208,314.70
  4. Step 4: Simplify right side
    378,084.22x = 108,685,515,797.96
  5. Step 5: Solve for x
    x = 108,685,515,797.96/378,084.22
  6. Step 6: Final answer
    x = 287,463.77

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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.