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Finding the Fourth Proportional to 302,240.40, 417,083.38 and 164,414.75

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Solution

The fourth proportional to 302,240.40, 417,083.38 and 164,414.75 is: 226,887.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,240.40 : 417,083.38 = 164,414.75 : x
  2. Step 2: Convert to fraction form
    302,240.40/417,083.38 = 164,414.75/x
  3. Step 3: Cross multiply
    302,240.40x = 417,083.38 × 164,414.75
  4. Step 4: Simplify right side
    302,240.40x = 68,574,659,651.86
  5. Step 5: Solve for x
    x = 68,574,659,651.86/302,240.40
  6. Step 6: Final answer
    x = 226,887.80

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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.