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Finding the Fourth Proportional to 302,314.84, 417,181.97 and 164,494.33

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Solution

The fourth proportional to 302,314.84, 417,181.97 and 164,494.33 is: 226,995.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,314.84 : 417,181.97 = 164,494.33 : x
  2. Step 2: Convert to fraction form
    302,314.84/417,181.97 = 164,494.33/x
  3. Step 3: Cross multiply
    302,314.84x = 417,181.97 × 164,494.33
  4. Step 4: Simplify right side
    302,314.84x = 68,624,068,342.24
  5. Step 5: Solve for x
    x = 68,624,068,342.24/302,314.84
  6. Step 6: Final answer
    x = 226,995.37

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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.