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Finding the Fourth Proportional to 297,298.95, 410,613.40 and 195,778.41

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Solution

The fourth proportional to 297,298.95, 410,613.40 and 195,778.41 is: 270,398.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,298.95 : 410,613.40 = 195,778.41 : x
  2. Step 2: Convert to fraction form
    297,298.95/410,613.40 = 195,778.41/x
  3. Step 3: Cross multiply
    297,298.95x = 410,613.40 × 195,778.41
  4. Step 4: Simplify right side
    297,298.95x = 80,389,238,576.69
  5. Step 5: Solve for x
    x = 80,389,238,576.69/297,298.95
  6. Step 6: Final answer
    x = 270,398.66

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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.