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Finding the Fourth Proportional to 288,895.50, 398,730.87 and 193,568.46

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Solution

The fourth proportional to 288,895.50, 398,730.87 and 193,568.46 is: 267,161.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,895.50 : 398,730.87 = 193,568.46 : x
  2. Step 2: Convert to fraction form
    288,895.50/398,730.87 = 193,568.46/x
  3. Step 3: Cross multiply
    288,895.50x = 398,730.87 × 193,568.46
  4. Step 4: Simplify right side
    288,895.50x = 77,181,720,460.36
  5. Step 5: Solve for x
    x = 77,181,720,460.36/288,895.50
  6. Step 6: Final answer
    x = 267,161.38

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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.