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Finding the Fourth Proportional to 408,858.30, 613,287.45 and 184,472.10

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Solution

The fourth proportional to 408,858.30, 613,287.45 and 184,472.10 is: 276,708.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,858.30 : 613,287.45 = 184,472.10 : x
  2. Step 2: Convert to fraction form
    408,858.30/613,287.45 = 184,472.10/x
  3. Step 3: Cross multiply
    408,858.30x = 613,287.45 × 184,472.10
  4. Step 4: Simplify right side
    408,858.30x = 113,134,423,805.15
  5. Step 5: Solve for x
    x = 113,134,423,805.15/408,858.30
  6. Step 6: Final answer
    x = 276,708.15

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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.