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Finding the Fourth Proportional to 287,725.50, 397,074.83 and 160,401.06

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Solution

The fourth proportional to 287,725.50, 397,074.83 and 160,401.06 is: 221,361.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,725.50 : 397,074.83 = 160,401.06 : x
  2. Step 2: Convert to fraction form
    287,725.50/397,074.83 = 160,401.06/x
  3. Step 3: Cross multiply
    287,725.50x = 397,074.83 × 160,401.06
  4. Step 4: Simplify right side
    287,725.50x = 63,691,222,829.31
  5. Step 5: Solve for x
    x = 63,691,222,829.31/287,725.50
  6. Step 6: Final answer
    x = 221,361.06

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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.