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Finding the Fourth Proportional to 410,126.33, 565,906.43 and 273,941.84

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Solution

The fourth proportional to 410,126.33, 565,906.43 and 273,941.84 is: 377,994.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,126.33 : 565,906.43 = 273,941.84 : x
  2. Step 2: Convert to fraction form
    410,126.33/565,906.43 = 273,941.84/x
  3. Step 3: Cross multiply
    410,126.33x = 565,906.43 × 273,941.84
  4. Step 4: Simplify right side
    410,126.33x = 155,025,450,801.65
  5. Step 5: Solve for x
    x = 155,025,450,801.65/410,126.33
  6. Step 6: Final answer
    x = 377,994.38

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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.