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Finding the Fourth Proportional to 333,348, 460,016.73 and 180,382.85

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Solution

The fourth proportional to 333,348, 460,016.73 and 180,382.85 is: 248,926.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,348 : 460,016.73 = 180,382.85 : x
  2. Step 2: Convert to fraction form
    333,348/460,016.73 = 180,382.85/x
  3. Step 3: Cross multiply
    333,348x = 460,016.73 × 180,382.85
  4. Step 4: Simplify right side
    333,348x = 82,979,126,505.00
  5. Step 5: Solve for x
    x = 82,979,126,505.00/333,348
  6. Step 6: Final answer
    x = 248,926.43

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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.