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Finding the Fourth Proportional to 377,908.25, 521,513.39 and 208,142.38

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Solution

The fourth proportional to 377,908.25, 521,513.39 and 208,142.38 is: 287,236.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,908.25 : 521,513.39 = 208,142.38 : x
  2. Step 2: Convert to fraction form
    377,908.25/521,513.39 = 208,142.38/x
  3. Step 3: Cross multiply
    377,908.25x = 521,513.39 × 208,142.38
  4. Step 4: Simplify right side
    377,908.25x = 108,549,034,548.19
  5. Step 5: Solve for x
    x = 108,549,034,548.19/377,908.25
  6. Step 6: Final answer
    x = 287,236.48

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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.