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Finding the Fourth Proportional to 614,786, 848,404.68 and 332,162

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Solution

The fourth proportional to 614,786, 848,404.68 and 332,162 is: 458,383.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,786 : 848,404.68 = 332,162 : x
  2. Step 2: Convert to fraction form
    614,786/848,404.68 = 332,162/x
  3. Step 3: Cross multiply
    614,786x = 848,404.68 × 332,162
  4. Step 4: Simplify right side
    614,786x = 281,807,795,318.16
  5. Step 5: Solve for x
    x = 281,807,795,318.16/614,786
  6. Step 6: Final answer
    x = 458,383.56

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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.