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Finding the Fourth Proportional to 382,204.80, 573,307.20 and 256,233.60

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Solution

The fourth proportional to 382,204.80, 573,307.20 and 256,233.60 is: 384,350.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,204.80 : 573,307.20 = 256,233.60 : x
  2. Step 2: Convert to fraction form
    382,204.80/573,307.20 = 256,233.60/x
  3. Step 3: Cross multiply
    382,204.80x = 573,307.20 × 256,233.60
  4. Step 4: Simplify right side
    382,204.80x = 146,900,567,761.92
  5. Step 5: Solve for x
    x = 146,900,567,761.92/382,204.80
  6. Step 6: Final answer
    x = 384,350.40

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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.