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Finding the Fourth Proportional to 567,096.24, 850,766.40 and 282,939.60

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Solution

The fourth proportional to 567,096.24, 850,766.40 and 282,939.60 is: 424,470.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,096.24 : 850,766.40 = 282,939.60 : x
  2. Step 2: Convert to fraction form
    567,096.24/850,766.40 = 282,939.60/x
  3. Step 3: Cross multiply
    567,096.24x = 850,766.40 × 282,939.60
  4. Step 4: Simplify right side
    567,096.24x = 240,715,504,909.44
  5. Step 5: Solve for x
    x = 240,715,504,909.44/567,096.24
  6. Step 6: Final answer
    x = 424,470.29

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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.