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Finding the Fourth Proportional to 499,944.66, 689,906.22 and 285,154

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Solution

The fourth proportional to 499,944.66, 689,906.22 and 285,154 is: 393,502.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,944.66 : 689,906.22 = 285,154 : x
  2. Step 2: Convert to fraction form
    499,944.66/689,906.22 = 285,154/x
  3. Step 3: Cross multiply
    499,944.66x = 689,906.22 × 285,154
  4. Step 4: Simplify right side
    499,944.66x = 196,729,518,257.88
  5. Step 5: Solve for x
    x = 196,729,518,257.88/499,944.66
  6. Step 6: Final answer
    x = 393,502.59

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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.