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Finding the Fourth Proportional to 264,896.97, 397,105.12 and 96,298.22

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Solution

The fourth proportional to 264,896.97, 397,105.12 and 96,298.22 is: 144,359.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,896.97 : 397,105.12 = 96,298.22 : x
  2. Step 2: Convert to fraction form
    264,896.97/397,105.12 = 96,298.22/x
  3. Step 3: Cross multiply
    264,896.97x = 397,105.12 × 96,298.22
  4. Step 4: Simplify right side
    264,896.97x = 38,240,514,223.36
  5. Step 5: Solve for x
    x = 38,240,514,223.36/264,896.97
  6. Step 6: Final answer
    x = 144,359.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.