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Finding the Fourth Proportional to 382,328.80, 572,704.80 and 224,077.60

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Solution

The fourth proportional to 382,328.80, 572,704.80 and 224,077.60 is: 335,654.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,328.80 : 572,704.80 = 224,077.60 : x
  2. Step 2: Convert to fraction form
    382,328.80/572,704.80 = 224,077.60/x
  3. Step 3: Cross multiply
    382,328.80x = 572,704.80 × 224,077.60
  4. Step 4: Simplify right side
    382,328.80x = 128,330,317,092.48
  5. Step 5: Solve for x
    x = 128,330,317,092.48/382,328.80
  6. Step 6: Final answer
    x = 335,654.33

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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.