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Finding the Fourth Proportional to 442,857.20, 664,285.80 and 256,233.20

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Solution

The fourth proportional to 442,857.20, 664,285.80 and 256,233.20 is: 384,349.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,857.20 : 664,285.80 = 256,233.20 : x
  2. Step 2: Convert to fraction form
    442,857.20/664,285.80 = 256,233.20/x
  3. Step 3: Cross multiply
    442,857.20x = 664,285.80 × 256,233.20
  4. Step 4: Simplify right side
    442,857.20x = 170,212,076,248.56
  5. Step 5: Solve for x
    x = 170,212,076,248.56/442,857.20
  6. Step 6: Final answer
    x = 384,349.80

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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.