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Finding the Fourth Proportional to 302,402.00, 417,314.79 and 164,581.44

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Solution

The fourth proportional to 302,402.00, 417,314.79 and 164,581.44 is: 227,122.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,402.00 : 417,314.79 = 164,581.44 : x
  2. Step 2: Convert to fraction form
    302,402.00/417,314.79 = 164,581.44/x
  3. Step 3: Cross multiply
    302,402.00x = 417,314.79 × 164,581.44
  4. Step 4: Simplify right side
    302,402.00x = 68,682,269,071.50
  5. Step 5: Solve for x
    x = 68,682,269,071.50/302,402.00
  6. Step 6: Final answer
    x = 227,122.41

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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.