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Finding the Fourth Proportional to 376,340.40, 519,355.64 and 206,590

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Solution

The fourth proportional to 376,340.40, 519,355.64 and 206,590 is: 285,097.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,340.40 : 519,355.64 = 206,590 : x
  2. Step 2: Convert to fraction form
    376,340.40/519,355.64 = 206,590/x
  3. Step 3: Cross multiply
    376,340.40x = 519,355.64 × 206,590
  4. Step 4: Simplify right side
    376,340.40x = 107,293,681,667.60
  5. Step 5: Solve for x
    x = 107,293,681,667.60/376,340.40
  6. Step 6: Final answer
    x = 285,097.43

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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.