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Finding the Fourth Proportional to 315,880.64, 435,914.23 and 172,640.64

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Solution

The fourth proportional to 315,880.64, 435,914.23 and 172,640.64 is: 238,243.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,880.64 : 435,914.23 = 172,640.64 : x
  2. Step 2: Convert to fraction form
    315,880.64/435,914.23 = 172,640.64/x
  3. Step 3: Cross multiply
    315,880.64x = 435,914.23 × 172,640.64
  4. Step 4: Simplify right side
    315,880.64x = 75,256,511,652.31
  5. Step 5: Solve for x
    x = 75,256,511,652.31/315,880.64
  6. Step 6: Final answer
    x = 238,243.51

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Why These Related Problems?

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