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Finding the Fourth Proportional to 283,705.20, 424,974.60 and 195,058.80

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Solution

The fourth proportional to 283,705.20, 424,974.60 and 195,058.80 is: 292,187.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,705.20 : 424,974.60 = 195,058.80 : x
  2. Step 2: Convert to fraction form
    283,705.20/424,974.60 = 195,058.80/x
  3. Step 3: Cross multiply
    283,705.20x = 424,974.60 × 195,058.80
  4. Step 4: Simplify right side
    283,705.20x = 82,895,035,506.48
  5. Step 5: Solve for x
    x = 82,895,035,506.48/283,705.20
  6. Step 6: Final answer
    x = 292,187.23

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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.