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Finding the Fourth Proportional to 382,683.20, 574,024.80 and 336,027.20

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Solution

The fourth proportional to 382,683.20, 574,024.80 and 336,027.20 is: 504,040.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,683.20 : 574,024.80 = 336,027.20 : x
  2. Step 2: Convert to fraction form
    382,683.20/574,024.80 = 336,027.20/x
  3. Step 3: Cross multiply
    382,683.20x = 574,024.80 × 336,027.20
  4. Step 4: Simplify right side
    382,683.20x = 192,887,946,274.56
  5. Step 5: Solve for x
    x = 192,887,946,274.56/382,683.20
  6. Step 6: Final answer
    x = 504,040.80

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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.