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Finding the Fourth Proportional to 297,269.91, 410,573.16 and 195,749.19

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Solution

The fourth proportional to 297,269.91, 410,573.16 and 195,749.19 is: 270,358.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,269.91 : 410,573.16 = 195,749.19 : x
  2. Step 2: Convert to fraction form
    297,269.91/410,573.16 = 195,749.19/x
  3. Step 3: Cross multiply
    297,269.91x = 410,573.16 × 195,749.19
  4. Step 4: Simplify right side
    297,269.91x = 80,369,363,505.74
  5. Step 5: Solve for x
    x = 80,369,363,505.74/297,269.91
  6. Step 6: Final answer
    x = 270,358.22

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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.