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Finding the Fourth Proportional to 331,668, 457,701.44 and 180,765

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Solution

The fourth proportional to 331,668, 457,701.44 and 180,765 is: 249,455.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,668 : 457,701.44 = 180,765 : x
  2. Step 2: Convert to fraction form
    331,668/457,701.44 = 180,765/x
  3. Step 3: Cross multiply
    331,668x = 457,701.44 × 180,765
  4. Step 4: Simplify right side
    331,668x = 82,736,399,897.78
  5. Step 5: Solve for x
    x = 82,736,399,897.78/331,668
  6. Step 6: Final answer
    x = 249,455.48

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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.