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Finding the Fourth Proportional to 323,132.11, 445,632 and 202,284.40

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Solution

The fourth proportional to 323,132.11, 445,632 and 202,284.40 is: 278,970.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,132.11 : 445,632 = 202,284.40 : x
  2. Step 2: Convert to fraction form
    323,132.11/445,632 = 202,284.40/x
  3. Step 3: Cross multiply
    323,132.11x = 445,632 × 202,284.40
  4. Step 4: Simplify right side
    323,132.11x = 90,144,401,740.80
  5. Step 5: Solve for x
    x = 90,144,401,740.80/323,132.11
  6. Step 6: Final answer
    x = 278,970.73

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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.