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Finding the Fourth Proportional to 302,893.96, 417,991.74 and 165,072.64

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Solution

The fourth proportional to 302,893.96, 417,991.74 and 165,072.64 is: 227,799.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,893.96 : 417,991.74 = 165,072.64 : x
  2. Step 2: Convert to fraction form
    302,893.96/417,991.74 = 165,072.64/x
  3. Step 3: Cross multiply
    302,893.96x = 417,991.74 × 165,072.64
  4. Step 4: Simplify right side
    302,893.96x = 68,999,000,019.99
  5. Step 5: Solve for x
    x = 68,999,000,019.99/302,893.96
  6. Step 6: Final answer
    x = 227,799.19

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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.