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Finding the Fourth Proportional to 283,052.30, 424,453.79 and 149,901.44

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Solution

The fourth proportional to 283,052.30, 424,453.79 and 149,901.44 is: 224,786.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,052.30 : 424,453.79 = 149,901.44 : x
  2. Step 2: Convert to fraction form
    283,052.30/424,453.79 = 149,901.44/x
  3. Step 3: Cross multiply
    283,052.30x = 424,453.79 × 149,901.44
  4. Step 4: Simplify right side
    283,052.30x = 63,626,232,586.94
  5. Step 5: Solve for x
    x = 63,626,232,586.94/283,052.30
  6. Step 6: Final answer
    x = 224,786.14

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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.