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Finding the Fourth Proportional to 333,687.49, 460,490.11 and 180,727.49

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Solution

The fourth proportional to 333,687.49, 460,490.11 and 180,727.49 is: 249,404.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,687.49 : 460,490.11 = 180,727.49 : x
  2. Step 2: Convert to fraction form
    333,687.49/460,490.11 = 180,727.49/x
  3. Step 3: Cross multiply
    333,687.49x = 460,490.11 × 180,727.49
  4. Step 4: Simplify right side
    333,687.49x = 83,223,222,449.53
  5. Step 5: Solve for x
    x = 83,223,222,449.53/333,687.49
  6. Step 6: Final answer
    x = 249,404.68

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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.