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Finding the Fourth Proportional to 393,971.94, 591,016.23 and 144,634.50

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Solution

The fourth proportional to 393,971.94, 591,016.23 and 144,634.50 is: 216,973.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,971.94 : 591,016.23 = 144,634.50 : x
  2. Step 2: Convert to fraction form
    393,971.94/591,016.23 = 144,634.50/x
  3. Step 3: Cross multiply
    393,971.94x = 591,016.23 × 144,634.50
  4. Step 4: Simplify right side
    393,971.94x = 85,481,336,917.94
  5. Step 5: Solve for x
    x = 85,481,336,917.94/393,971.94
  6. Step 6: Final answer
    x = 216,973.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.