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Finding the Fourth Proportional to 300,032.48, 413,893.86 and 197,950.34

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Solution

The fourth proportional to 300,032.48, 413,893.86 and 197,950.34 is: 273,071.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,032.48 : 413,893.86 = 197,950.34 : x
  2. Step 2: Convert to fraction form
    300,032.48/413,893.86 = 197,950.34/x
  3. Step 3: Cross multiply
    300,032.48x = 413,893.86 × 197,950.34
  4. Step 4: Simplify right side
    300,032.48x = 81,930,430,310.91
  5. Step 5: Solve for x
    x = 81,930,430,310.91/300,032.48
  6. Step 6: Final answer
    x = 273,071.87

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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.