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Finding the Fourth Proportional to 297,314.55, 410,022.81 and 195,299.10

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Solution

The fourth proportional to 297,314.55, 410,022.81 and 195,299.10 is: 269,334.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,314.55 : 410,022.81 = 195,299.10 : x
  2. Step 2: Convert to fraction form
    297,314.55/410,022.81 = 195,299.10/x
  3. Step 3: Cross multiply
    297,314.55x = 410,022.81 × 195,299.10
  4. Step 4: Simplify right side
    297,314.55x = 80,077,085,772.47
  5. Step 5: Solve for x
    x = 80,077,085,772.47/297,314.55
  6. Step 6: Final answer
    x = 269,334.57

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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.