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Finding the Fourth Proportional to 499,833.91, 689,753.64 and 285,043.11

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Solution

The fourth proportional to 499,833.91, 689,753.64 and 285,043.11 is: 393,349.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,833.91 : 689,753.64 = 285,043.11 : x
  2. Step 2: Convert to fraction form
    499,833.91/689,753.64 = 285,043.11/x
  3. Step 3: Cross multiply
    499,833.91x = 689,753.64 × 285,043.11
  4. Step 4: Simplify right side
    499,833.91x = 196,609,522,679.42
  5. Step 5: Solve for x
    x = 196,609,522,679.42/499,833.91
  6. Step 6: Final answer
    x = 393,349.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.