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Finding the Fourth Proportional to 499,183, 688,631.70 and 327,026.14

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Solution

The fourth proportional to 499,183, 688,631.70 and 327,026.14 is: 451,138.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,183 : 688,631.70 = 327,026.14 : x
  2. Step 2: Convert to fraction form
    499,183/688,631.70 = 327,026.14/x
  3. Step 3: Cross multiply
    499,183x = 688,631.70 × 327,026.14
  4. Step 4: Simplify right side
    499,183x = 225,200,566,732.64
  5. Step 5: Solve for x
    x = 225,200,566,732.64/499,183
  6. Step 6: Final answer
    x = 451,138.29

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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.