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Finding the Fourth Proportional to 614,524, 848,043.12 and 331,900

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Solution

The fourth proportional to 614,524, 848,043.12 and 331,900 is: 458,022

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,524 : 848,043.12 = 331,900 : x
  2. Step 2: Convert to fraction form
    614,524/848,043.12 = 331,900/x
  3. Step 3: Cross multiply
    614,524x = 848,043.12 × 331,900
  4. Step 4: Simplify right side
    614,524x = 281,465,511,528
  5. Step 5: Solve for x
    x = 281,465,511,528/614,524
  6. Step 6: Final answer
    x = 458,022

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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.