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Finding the Fourth Proportional to 408,846.30, 613,269.45 and 184,460.10

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Solution

The fourth proportional to 408,846.30, 613,269.45 and 184,460.10 is: 276,690.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,846.30 : 613,269.45 = 184,460.10 : x
  2. Step 2: Convert to fraction form
    408,846.30/613,269.45 = 184,460.10/x
  3. Step 3: Cross multiply
    408,846.30x = 613,269.45 × 184,460.10
  4. Step 4: Simplify right side
    408,846.30x = 113,123,744,073.95
  5. Step 5: Solve for x
    x = 113,123,744,073.95/408,846.30
  6. Step 6: Final answer
    x = 276,690.15

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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.