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Finding the Fourth Proportional to 333,382.80, 460,064.52 and 182,478

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Solution

The fourth proportional to 333,382.80, 460,064.52 and 182,478 is: 251,817.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,382.80 : 460,064.52 = 182,478 : x
  2. Step 2: Convert to fraction form
    333,382.80/460,064.52 = 182,478/x
  3. Step 3: Cross multiply
    333,382.80x = 460,064.52 × 182,478
  4. Step 4: Simplify right side
    333,382.80x = 83,951,653,480.56
  5. Step 5: Solve for x
    x = 83,951,653,480.56/333,382.80
  6. Step 6: Final answer
    x = 251,817.59

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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.