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Finding the Fourth Proportional to 381,044.41, 571,566.77 and 141,240.77

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Solution

The fourth proportional to 381,044.41, 571,566.77 and 141,240.77 is: 211,861.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,044.41 : 571,566.77 = 141,240.77 : x
  2. Step 2: Convert to fraction form
    381,044.41/571,566.77 = 141,240.77/x
  3. Step 3: Cross multiply
    381,044.41x = 571,566.77 × 141,240.77
  4. Step 4: Simplify right side
    381,044.41x = 80,728,530,701.21
  5. Step 5: Solve for x
    x = 80,728,530,701.21/381,044.41
  6. Step 6: Final answer
    x = 211,861.21

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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.