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Finding the Fourth Proportional to 294,627.51, 442,134.96 and 161,601

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Solution

The fourth proportional to 294,627.51, 442,134.96 and 161,601 is: 242,507.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,627.51 : 442,134.96 = 161,601 : x
  2. Step 2: Convert to fraction form
    294,627.51/442,134.96 = 161,601/x
  3. Step 3: Cross multiply
    294,627.51x = 442,134.96 × 161,601
  4. Step 4: Simplify right side
    294,627.51x = 71,449,451,670.96
  5. Step 5: Solve for x
    x = 71,449,451,670.96/294,627.51
  6. Step 6: Final answer
    x = 242,507.74

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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.