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Finding the Fourth Proportional to 376,470.84, 519,538.14 and 206,705.64

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Solution

The fourth proportional to 376,470.84, 519,538.14 and 206,705.64 is: 285,258.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,470.84 : 519,538.14 = 206,705.64 : x
  2. Step 2: Convert to fraction form
    376,470.84/519,538.14 = 206,705.64/x
  3. Step 3: Cross multiply
    376,470.84x = 519,538.14 × 206,705.64
  4. Step 4: Simplify right side
    376,470.84x = 107,391,463,733.11
  5. Step 5: Solve for x
    x = 107,391,463,733.11/376,470.84
  6. Step 6: Final answer
    x = 285,258.38

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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.