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Finding the Fourth Proportional to 294,715.46, 442,142.31 and 117,232.58

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Solution

The fourth proportional to 294,715.46, 442,142.31 and 117,232.58 is: 175,876.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,715.46 : 442,142.31 = 117,232.58 : x
  2. Step 2: Convert to fraction form
    294,715.46/442,142.31 = 117,232.58/x
  3. Step 3: Cross multiply
    294,715.46x = 442,142.31 × 117,232.58
  4. Step 4: Simplify right side
    294,715.46x = 51,833,485,273.44
  5. Step 5: Solve for x
    x = 51,833,485,273.44/294,715.46
  6. Step 6: Final answer
    x = 175,876.37

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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.