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Finding the Fourth Proportional to 379,209.48, 523,264.32 and 209,433.48

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Solution

The fourth proportional to 379,209.48, 523,264.32 and 209,433.48 is: 288,993.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,209.48 : 523,264.32 = 209,433.48 : x
  2. Step 2: Convert to fraction form
    379,209.48/523,264.32 = 209,433.48/x
  3. Step 3: Cross multiply
    379,209.48x = 523,264.32 × 209,433.48
  4. Step 4: Simplify right side
    379,209.48x = 109,589,067,497.43
  5. Step 5: Solve for x
    x = 109,589,067,497.43/379,209.48
  6. Step 6: Final answer
    x = 288,993.48

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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.