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Finding the Fourth Proportional to 302,367.20, 417,324.48 and 200,212.48

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Solution

The fourth proportional to 302,367.20, 417,324.48 and 200,212.48 is: 276,331.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,367.20 : 417,324.48 = 200,212.48 : x
  2. Step 2: Convert to fraction form
    302,367.20/417,324.48 = 200,212.48/x
  3. Step 3: Cross multiply
    302,367.20x = 417,324.48 × 200,212.48
  4. Step 4: Simplify right side
    302,367.20x = 83,553,569,105.51
  5. Step 5: Solve for x
    x = 83,553,569,105.51/302,367.20
  6. Step 6: Final answer
    x = 276,331.46

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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.