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Finding the Fourth Proportional to 285,997.91, 429,082.98 and 257,785.61

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Solution

The fourth proportional to 285,997.91, 429,082.98 and 257,785.61 is: 386,756.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,997.91 : 429,082.98 = 257,785.61 : x
  2. Step 2: Convert to fraction form
    285,997.91/429,082.98 = 257,785.61/x
  3. Step 3: Cross multiply
    285,997.91x = 429,082.98 × 257,785.61
  4. Step 4: Simplify right side
    285,997.91x = 110,611,417,739.92
  5. Step 5: Solve for x
    x = 110,611,417,739.92/285,997.91
  6. Step 6: Final answer
    x = 386,756.04

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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.