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Finding the Fourth Proportional to 376,710.75, 519,864.48 and 206,948.52

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Solution

The fourth proportional to 376,710.75, 519,864.48 and 206,948.52 is: 285,590.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,710.75 : 519,864.48 = 206,948.52 : x
  2. Step 2: Convert to fraction form
    376,710.75/519,864.48 = 206,948.52/x
  3. Step 3: Cross multiply
    376,710.75x = 519,864.48 × 206,948.52
  4. Step 4: Simplify right side
    376,710.75x = 107,585,184,736.57
  5. Step 5: Solve for x
    x = 107,585,184,736.57/376,710.75
  6. Step 6: Final answer
    x = 285,590.96

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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.