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Finding the Fourth Proportional to 296,537.23, 409,219.52 and 160,568.30

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Solution

The fourth proportional to 296,537.23, 409,219.52 and 160,568.30 is: 221,583.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,537.23 : 409,219.52 = 160,568.30 : x
  2. Step 2: Convert to fraction form
    296,537.23/409,219.52 = 160,568.30/x
  3. Step 3: Cross multiply
    296,537.23x = 409,219.52 × 160,568.30
  4. Step 4: Simplify right side
    296,537.23x = 65,707,682,653.22
  5. Step 5: Solve for x
    x = 65,707,682,653.22/296,537.23
  6. Step 6: Final answer
    x = 221,583.25

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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.