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Finding the Fourth Proportional to 365,416.80, 547,687.80 and 187,832.40

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Solution

The fourth proportional to 365,416.80, 547,687.80 and 187,832.40 is: 281,523.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,416.80 : 547,687.80 = 187,832.40 : x
  2. Step 2: Convert to fraction form
    365,416.80/547,687.80 = 187,832.40/x
  3. Step 3: Cross multiply
    365,416.80x = 547,687.80 × 187,832.40
  4. Step 4: Simplify right side
    365,416.80x = 102,873,513,924.72
  5. Step 5: Solve for x
    x = 102,873,513,924.72/365,416.80
  6. Step 6: Final answer
    x = 281,523.77

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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.