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Finding the Fourth Proportional to 613,958.49, 920,892.78 and 193,354.65

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Solution

The fourth proportional to 613,958.49, 920,892.78 and 193,354.65 is: 290,017.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,958.49 : 920,892.78 = 193,354.65 : x
  2. Step 2: Convert to fraction form
    613,958.49/920,892.78 = 193,354.65/x
  3. Step 3: Cross multiply
    613,958.49x = 920,892.78 × 193,354.65
  4. Step 4: Simplify right side
    613,958.49x = 178,058,901,164.43
  5. Step 5: Solve for x
    x = 178,058,901,164.43/613,958.49
  6. Step 6: Final answer
    x = 290,017.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.