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Finding the Fourth Proportional to 442,257.94, 663,527.24 and 157,942.48

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Solution

The fourth proportional to 442,257.94, 663,527.24 and 157,942.48 is: 236,963.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,257.94 : 663,527.24 = 157,942.48 : x
  2. Step 2: Convert to fraction form
    442,257.94/663,527.24 = 157,942.48/x
  3. Step 3: Cross multiply
    442,257.94x = 663,527.24 × 157,942.48
  4. Step 4: Simplify right side
    442,257.94x = 104,799,137,833.16
  5. Step 5: Solve for x
    x = 104,799,137,833.16/442,257.94
  6. Step 6: Final answer
    x = 236,963.84

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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.