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Finding the Fourth Proportional to 320,468.40, 480,702.60 and 143,321.40

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Solution

The fourth proportional to 320,468.40, 480,702.60 and 143,321.40 is: 214,982.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,468.40 : 480,702.60 = 143,321.40 : x
  2. Step 2: Convert to fraction form
    320,468.40/480,702.60 = 143,321.40/x
  3. Step 3: Cross multiply
    320,468.40x = 480,702.60 × 143,321.40
  4. Step 4: Simplify right side
    320,468.40x = 68,894,969,615.64
  5. Step 5: Solve for x
    x = 68,894,969,615.64/320,468.40
  6. Step 6: Final answer
    x = 214,982.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.