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Finding the Fourth Proportional to 410,121.56, 565,972.73 and 238,079.38

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Solution

The fourth proportional to 410,121.56, 565,972.73 and 238,079.38 is: 328,552.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,121.56 : 565,972.73 = 238,079.38 : x
  2. Step 2: Convert to fraction form
    410,121.56/565,972.73 = 238,079.38/x
  3. Step 3: Cross multiply
    410,121.56x = 565,972.73 × 238,079.38
  4. Step 4: Simplify right side
    410,121.56x = 134,746,436,673.57
  5. Step 5: Solve for x
    x = 134,746,436,673.57/410,121.56
  6. Step 6: Final answer
    x = 328,552.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.