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Finding the Fourth Proportional to 302,892.96, 417,990.36 and 165,071.64

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Solution

The fourth proportional to 302,892.96, 417,990.36 and 165,071.64 is: 227,797.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,892.96 : 417,990.36 = 165,071.64 : x
  2. Step 2: Convert to fraction form
    302,892.96/417,990.36 = 165,071.64/x
  3. Step 3: Cross multiply
    302,892.96x = 417,990.36 × 165,071.64
  4. Step 4: Simplify right side
    302,892.96x = 68,998,356,415.87
  5. Step 5: Solve for x
    x = 68,998,356,415.87/302,892.96
  6. Step 6: Final answer
    x = 227,797.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.