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Finding the Fourth Proportional to 329,797.31, 494,768.58 and 187,709.46

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Solution

The fourth proportional to 329,797.31, 494,768.58 and 187,709.46 is: 281,605.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,797.31 : 494,768.58 = 187,709.46 : x
  2. Step 2: Convert to fraction form
    329,797.31/494,768.58 = 187,709.46/x
  3. Step 3: Cross multiply
    329,797.31x = 494,768.58 × 187,709.46
  4. Step 4: Simplify right side
    329,797.31x = 92,872,742,976.77
  5. Step 5: Solve for x
    x = 92,872,742,976.77/329,797.31
  6. Step 6: Final answer
    x = 281,605.52

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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.