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Finding the Fourth Proportional to 425,447.56, 638,282.04 and 159,229

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Solution

The fourth proportional to 425,447.56, 638,282.04 and 159,229 is: 238,884.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,447.56 : 638,282.04 = 159,229 : x
  2. Step 2: Convert to fraction form
    425,447.56/638,282.04 = 159,229/x
  3. Step 3: Cross multiply
    425,447.56x = 638,282.04 × 159,229
  4. Step 4: Simplify right side
    425,447.56x = 101,633,010,947.16
  5. Step 5: Solve for x
    x = 101,633,010,947.16/425,447.56
  6. Step 6: Final answer
    x = 238,884.93

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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.