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Finding the Fourth Proportional to 295,915.38, 408,403.22 and 166,880.39

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Solution

The fourth proportional to 295,915.38, 408,403.22 and 166,880.39 is: 230,317.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,915.38 : 408,403.22 = 166,880.39 : x
  2. Step 2: Convert to fraction form
    295,915.38/408,403.22 = 166,880.39/x
  3. Step 3: Cross multiply
    295,915.38x = 408,403.22 × 166,880.39
  4. Step 4: Simplify right side
    295,915.38x = 68,154,485,754.44
  5. Step 5: Solve for x
    x = 68,154,485,754.44/295,915.38
  6. Step 6: Final answer
    x = 230,317.49

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1.5x scale

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.