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Finding the Fourth Proportional to 382,310.80, 573,466.20 and 256,339.60

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Solution

The fourth proportional to 382,310.80, 573,466.20 and 256,339.60 is: 384,509.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,310.80 : 573,466.20 = 256,339.60 : x
  2. Step 2: Convert to fraction form
    382,310.80/573,466.20 = 256,339.60/x
  3. Step 3: Cross multiply
    382,310.80x = 573,466.20 × 256,339.60
  4. Step 4: Simplify right side
    382,310.80x = 147,002,096,321.52
  5. Step 5: Solve for x
    x = 147,002,096,321.52/382,310.80
  6. Step 6: Final answer
    x = 384,509.40

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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.