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Finding the Fourth Proportional to 376,482.34, 519,554.01 and 206,717.14

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Solution

The fourth proportional to 376,482.34, 519,554.01 and 206,717.14 is: 285,274.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,482.34 : 519,554.01 = 206,717.14 : x
  2. Step 2: Convert to fraction form
    376,482.34/519,554.01 = 206,717.14/x
  3. Step 3: Cross multiply
    376,482.34x = 519,554.01 × 206,717.14
  4. Step 4: Simplify right side
    376,482.34x = 107,400,719,022.73
  5. Step 5: Solve for x
    x = 107,400,719,022.73/376,482.34
  6. Step 6: Final answer
    x = 285,274.25

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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.