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Finding the Fourth Proportional to 283,660.40, 424,972.20 and 230,783.60

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Solution

The fourth proportional to 283,660.40, 424,972.20 and 230,783.60 is: 345,753.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,660.40 : 424,972.20 = 230,783.60 : x
  2. Step 2: Convert to fraction form
    283,660.40/424,972.20 = 230,783.60/x
  3. Step 3: Cross multiply
    283,660.40x = 424,972.20 × 230,783.60
  4. Step 4: Simplify right side
    283,660.40x = 98,076,614,215.92
  5. Step 5: Solve for x
    x = 98,076,614,215.92/283,660.40
  6. Step 6: Final answer
    x = 345,753.63

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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.