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Finding the Fourth Proportional to 382,142.40, 573,213.60 and 242,059.20

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Solution

The fourth proportional to 382,142.40, 573,213.60 and 242,059.20 is: 363,088.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,142.40 : 573,213.60 = 242,059.20 : x
  2. Step 2: Convert to fraction form
    382,142.40/573,213.60 = 242,059.20/x
  3. Step 3: Cross multiply
    382,142.40x = 573,213.60 × 242,059.20
  4. Step 4: Simplify right side
    382,142.40x = 138,751,625,445.12
  5. Step 5: Solve for x
    x = 138,751,625,445.12/382,142.40
  6. Step 6: Final answer
    x = 363,088.80

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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.