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Finding the Fourth Proportional to 323,624.40, 446,658.75 and 202,869.24

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Solution

The fourth proportional to 323,624.40, 446,658.75 and 202,869.24 is: 279,995.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,624.40 : 446,658.75 = 202,869.24 : x
  2. Step 2: Convert to fraction form
    323,624.40/446,658.75 = 202,869.24/x
  3. Step 3: Cross multiply
    323,624.40x = 446,658.75 × 202,869.24
  4. Step 4: Simplify right side
    323,624.40x = 90,613,321,151.85
  5. Step 5: Solve for x
    x = 90,613,321,151.85/323,624.40
  6. Step 6: Final answer
    x = 279,995.33

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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.