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Finding the Fourth Proportional to 378,580.84, 522,441.95 and 217,467.05

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Solution

The fourth proportional to 378,580.84, 522,441.95 and 217,467.05 is: 300,104.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,580.84 : 522,441.95 = 217,467.05 : x
  2. Step 2: Convert to fraction form
    378,580.84/522,441.95 = 217,467.05/x
  3. Step 3: Cross multiply
    378,580.84x = 522,441.95 × 217,467.05
  4. Step 4: Simplify right side
    378,580.84x = 113,613,905,963.20
  5. Step 5: Solve for x
    x = 113,613,905,963.20/378,580.84
  6. Step 6: Final answer
    x = 300,104.75

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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.