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Finding the Fourth Proportional to 382,591.60, 573,887.40 and 314,940.40

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Solution

The fourth proportional to 382,591.60, 573,887.40 and 314,940.40 is: 472,410.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,591.60 : 573,887.40 = 314,940.40 : x
  2. Step 2: Convert to fraction form
    382,591.60/573,887.40 = 314,940.40/x
  3. Step 3: Cross multiply
    382,591.60x = 573,887.40 × 314,940.40
  4. Step 4: Simplify right side
    382,591.60x = 180,740,327,310.96
  5. Step 5: Solve for x
    x = 180,740,327,310.96/382,591.60
  6. Step 6: Final answer
    x = 472,410.60

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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.