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Finding the Fourth Proportional to 331,376.32, 457,299.84 and 180,473.92

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Solution

The fourth proportional to 331,376.32, 457,299.84 and 180,473.92 is: 249,054.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,376.32 : 457,299.84 = 180,473.92 : x
  2. Step 2: Convert to fraction form
    331,376.32/457,299.84 = 180,473.92/x
  3. Step 3: Cross multiply
    331,376.32x = 457,299.84 × 180,473.92
  4. Step 4: Simplify right side
    331,376.32x = 82,530,694,740.17
  5. Step 5: Solve for x
    x = 82,530,694,740.17/331,376.32
  6. Step 6: Final answer
    x = 249,054.29

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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.