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Finding the Fourth Proportional to 409,593.70, 613,907.88 and 184,690.82

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Solution

The fourth proportional to 409,593.70, 613,907.88 and 184,690.82 is: 276,818.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,593.70 : 613,907.88 = 184,690.82 : x
  2. Step 2: Convert to fraction form
    409,593.70/613,907.88 = 184,690.82/x
  3. Step 3: Cross multiply
    409,593.70x = 613,907.88 × 184,690.82
  4. Step 4: Simplify right side
    409,593.70x = 113,383,150,603.84
  5. Step 5: Solve for x
    x = 113,383,150,603.84/409,593.70
  6. Step 6: Final answer
    x = 276,818.59

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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.