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Finding the Fourth Proportional to 333,716.36, 460,530.20 and 182,813.36

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Solution

The fourth proportional to 333,716.36, 460,530.20 and 182,813.36 is: 252,283.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,716.36 : 460,530.20 = 182,813.36 : x
  2. Step 2: Convert to fraction form
    333,716.36/460,530.20 = 182,813.36/x
  3. Step 3: Cross multiply
    333,716.36x = 460,530.20 × 182,813.36
  4. Step 4: Simplify right side
    333,716.36x = 84,191,073,243.47
  5. Step 5: Solve for x
    x = 84,191,073,243.47/333,716.36
  6. Step 6: Final answer
    x = 252,283.33

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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.