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Finding the Fourth Proportional to 417,857.25, 627,034.95 and 151,638.54

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Solution

The fourth proportional to 417,857.25, 627,034.95 and 151,638.54 is: 227,548.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,857.25 : 627,034.95 = 151,638.54 : x
  2. Step 2: Convert to fraction form
    417,857.25/627,034.95 = 151,638.54/x
  3. Step 3: Cross multiply
    417,857.25x = 627,034.95 × 151,638.54
  4. Step 4: Simplify right side
    417,857.25x = 95,082,664,346.97
  5. Step 5: Solve for x
    x = 95,082,664,346.97/417,857.25
  6. Step 6: Final answer
    x = 227,548.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.