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Finding the Fourth Proportional to 315,520.26, 435,435.60 and 172,293.60

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Solution

The fourth proportional to 315,520.26, 435,435.60 and 172,293.60 is: 237,774.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,520.26 : 435,435.60 = 172,293.60 : x
  2. Step 2: Convert to fraction form
    315,520.26/435,435.60 = 172,293.60/x
  3. Step 3: Cross multiply
    315,520.26x = 435,435.60 × 172,293.60
  4. Step 4: Simplify right side
    315,520.26x = 75,022,767,092.16
  5. Step 5: Solve for x
    x = 75,022,767,092.16/315,520.26
  6. Step 6: Final answer
    x = 237,774.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.