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Finding the Fourth Proportional to 302,946.21, 418,063.43 and 166,980.42

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Solution

The fourth proportional to 302,946.21, 418,063.43 and 166,980.42 is: 230,431.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,946.21 : 418,063.43 = 166,980.42 : x
  2. Step 2: Convert to fraction form
    302,946.21/418,063.43 = 166,980.42/x
  3. Step 3: Cross multiply
    302,946.21x = 418,063.43 × 166,980.42
  4. Step 4: Simplify right side
    302,946.21x = 69,808,407,545.49
  5. Step 5: Solve for x
    x = 69,808,407,545.49/302,946.21
  6. Step 6: Final answer
    x = 230,431.69

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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.