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Finding the Fourth Proportional to 285,658.52, 393,311.30 and 242,548.16

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Solution

The fourth proportional to 285,658.52, 393,311.30 and 242,548.16 is: 333,954.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,658.52 : 393,311.30 = 242,548.16 : x
  2. Step 2: Convert to fraction form
    285,658.52/393,311.30 = 242,548.16/x
  3. Step 3: Cross multiply
    285,658.52x = 393,311.30 × 242,548.16
  4. Step 4: Simplify right side
    285,658.52x = 95,396,928,942.91
  5. Step 5: Solve for x
    x = 95,396,928,942.91/285,658.52
  6. Step 6: Final answer
    x = 333,954.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.