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Finding the Fourth Proportional to 302,566.29, 417,538.04 and 166,597.40

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Solution

The fourth proportional to 302,566.29, 417,538.04 and 166,597.40 is: 229,902.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,566.29 : 417,538.04 = 166,597.40 : x
  2. Step 2: Convert to fraction form
    302,566.29/417,538.04 = 166,597.40/x
  3. Step 3: Cross multiply
    302,566.29x = 417,538.04 × 166,597.40
  4. Step 4: Simplify right side
    302,566.29x = 69,560,748,944.42
  5. Step 5: Solve for x
    x = 69,560,748,944.42/302,566.29
  6. Step 6: Final answer
    x = 229,902.51

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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.