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Finding the Fourth Proportional to 376,465.77, 519,531.78 and 204,390.97

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Solution

The fourth proportional to 376,465.77, 519,531.78 and 204,390.97 is: 282,064.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,465.77 : 519,531.78 = 204,390.97 : x
  2. Step 2: Convert to fraction form
    376,465.77/519,531.78 = 204,390.97/x
  3. Step 3: Cross multiply
    376,465.77x = 519,531.78 × 204,390.97
  4. Step 4: Simplify right side
    376,465.77x = 106,187,604,460.03
  5. Step 5: Solve for x
    x = 106,187,604,460.03/376,465.77
  6. Step 6: Final answer
    x = 282,064.43

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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.