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Finding the Fourth Proportional to 376,161.76, 519,112.29 and 206,395.75

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Solution

The fourth proportional to 376,161.76, 519,112.29 and 206,395.75 is: 284,831.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,161.76 : 519,112.29 = 206,395.75 : x
  2. Step 2: Convert to fraction form
    376,161.76/519,112.29 = 206,395.75/x
  3. Step 3: Cross multiply
    376,161.76x = 519,112.29 × 206,395.75
  4. Step 4: Simplify right side
    376,161.76x = 107,142,570,428.77
  5. Step 5: Solve for x
    x = 107,142,570,428.77/376,161.76
  6. Step 6: Final answer
    x = 284,831.11

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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.