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Finding the Fourth Proportional to 394,178.45, 543,966.78 and 224,412.57

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Solution

The fourth proportional to 394,178.45, 543,966.78 and 224,412.57 is: 309,689.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,178.45 : 543,966.78 = 224,412.57 : x
  2. Step 2: Convert to fraction form
    394,178.45/543,966.78 = 224,412.57/x
  3. Step 3: Cross multiply
    394,178.45x = 543,966.78 × 224,412.57
  4. Step 4: Simplify right side
    394,178.45x = 122,072,983,094.43
  5. Step 5: Solve for x
    x = 122,072,983,094.43/394,178.45
  6. Step 6: Final answer
    x = 309,689.64

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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.