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Finding the Fourth Proportional to 300,035.48, 413,898 and 197,953.34

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Solution

The fourth proportional to 300,035.48, 413,898 and 197,953.34 is: 273,076.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,035.48 : 413,898 = 197,953.34 : x
  2. Step 2: Convert to fraction form
    300,035.48/413,898 = 197,953.34/x
  3. Step 3: Cross multiply
    300,035.48x = 413,898 × 197,953.34
  4. Step 4: Simplify right side
    300,035.48x = 81,932,491,519.32
  5. Step 5: Solve for x
    x = 81,932,491,519.32/300,035.48
  6. Step 6: Final answer
    x = 273,076.01

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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.