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Finding the Fourth Proportional to 344,641.30, 475,600.75 and 193,738.30

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Solution

The fourth proportional to 344,641.30, 475,600.75 and 193,738.30 is: 267,356.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,641.30 : 475,600.75 = 193,738.30 : x
  2. Step 2: Convert to fraction form
    344,641.30/475,600.75 = 193,738.30/x
  3. Step 3: Cross multiply
    344,641.30x = 475,600.75 × 193,738.30
  4. Step 4: Simplify right side
    344,641.30x = 92,142,079,110.38
  5. Step 5: Solve for x
    x = 92,142,079,110.38/344,641.30
  6. Step 6: Final answer
    x = 267,356.47

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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.