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Finding the Fourth Proportional to 381,686.10, 572,529.15 and 192,729.30

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Solution

The fourth proportional to 381,686.10, 572,529.15 and 192,729.30 is: 289,093.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,686.10 : 572,529.15 = 192,729.30 : x
  2. Step 2: Convert to fraction form
    381,686.10/572,529.15 = 192,729.30/x
  3. Step 3: Cross multiply
    381,686.10x = 572,529.15 × 192,729.30
  4. Step 4: Simplify right side
    381,686.10x = 110,343,142,309.10
  5. Step 5: Solve for x
    x = 110,343,142,309.10/381,686.10
  6. Step 6: Final answer
    x = 289,093.95

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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.