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Finding the Fourth Proportional to 383,428.21, 529,068.70 and 222,251.78

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Solution

The fourth proportional to 383,428.21, 529,068.70 and 222,251.78 is: 306,671.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,428.21 : 529,068.70 = 222,251.78 : x
  2. Step 2: Convert to fraction form
    383,428.21/529,068.70 = 222,251.78/x
  3. Step 3: Cross multiply
    383,428.21x = 529,068.70 × 222,251.78
  4. Step 4: Simplify right side
    383,428.21x = 117,586,460,317.29
  5. Step 5: Solve for x
    x = 117,586,460,317.29/383,428.21
  6. Step 6: Final answer
    x = 306,671.39

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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.