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Finding the Fourth Proportional to 425,442.56, 638,274.54 and 159,224

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Solution

The fourth proportional to 425,442.56, 638,274.54 and 159,224 is: 238,877.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,442.56 : 638,274.54 = 159,224 : x
  2. Step 2: Convert to fraction form
    425,442.56/638,274.54 = 159,224/x
  3. Step 3: Cross multiply
    425,442.56x = 638,274.54 × 159,224
  4. Step 4: Simplify right side
    425,442.56x = 101,628,625,356.96
  5. Step 5: Solve for x
    x = 101,628,625,356.96/425,442.56
  6. Step 6: Final answer
    x = 238,877.43

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