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Finding the Fourth Proportional to 331,666, 457,711.44 and 188,450.32

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Solution

The fourth proportional to 331,666, 457,711.44 and 188,450.32 is: 260,068.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,666 : 457,711.44 = 188,450.32 : x
  2. Step 2: Convert to fraction form
    331,666/457,711.44 = 188,450.32/x
  3. Step 3: Cross multiply
    331,666x = 457,711.44 × 188,450.32
  4. Step 4: Simplify right side
    331,666x = 86,255,867,335.66
  5. Step 5: Solve for x
    x = 86,255,867,335.66/331,666
  6. Step 6: Final answer
    x = 260,068.46

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