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Finding the Fourth Proportional to 302,824.29, 417,892.01 and 166,870.79

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Solution

The fourth proportional to 302,824.29, 417,892.01 and 166,870.79 is: 230,278.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,824.29 : 417,892.01 = 166,870.79 : x
  2. Step 2: Convert to fraction form
    302,824.29/417,892.01 = 166,870.79/x
  3. Step 3: Cross multiply
    302,824.29x = 417,892.01 × 166,870.79
  4. Step 4: Simplify right side
    302,824.29x = 69,733,967,753.93
  5. Step 5: Solve for x
    x = 69,733,967,753.93/302,824.29
  6. Step 6: Final answer
    x = 230,278.65

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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.