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Finding the Fourth Proportional to 333,436.34, 460,142.09 and 180,474.49

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Solution

The fourth proportional to 333,436.34, 460,142.09 and 180,474.49 is: 249,054.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,436.34 : 460,142.09 = 180,474.49 : x
  2. Step 2: Convert to fraction form
    333,436.34/460,142.09 = 180,474.49/x
  3. Step 3: Cross multiply
    333,436.34x = 460,142.09 × 180,474.49
  4. Step 4: Simplify right side
    333,436.34x = 83,043,909,020.28
  5. Step 5: Solve for x
    x = 83,043,909,020.28/333,436.34
  6. Step 6: Final answer
    x = 249,054.76

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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.