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Finding the Fourth Proportional to 382,202.80, 573,304.20 and 256,231.60

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Solution

The fourth proportional to 382,202.80, 573,304.20 and 256,231.60 is: 384,347.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,202.80 : 573,304.20 = 256,231.60 : x
  2. Step 2: Convert to fraction form
    382,202.80/573,304.20 = 256,231.60/x
  3. Step 3: Cross multiply
    382,202.80x = 573,304.20 × 256,231.60
  4. Step 4: Simplify right side
    382,202.80x = 146,898,652,452.72
  5. Step 5: Solve for x
    x = 146,898,652,452.72/382,202.80
  6. Step 6: Final answer
    x = 384,347.40

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Similar ratio
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1.5x scale

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.