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Finding the Fourth Proportional to 302,913.41, 418,003.45 and 166,946.94

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Solution

The fourth proportional to 302,913.41, 418,003.45 and 166,946.94 is: 230,377.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,913.41 : 418,003.45 = 166,946.94 : x
  2. Step 2: Convert to fraction form
    302,913.41/418,003.45 = 166,946.94/x
  3. Step 3: Cross multiply
    302,913.41x = 418,003.45 × 166,946.94
  4. Step 4: Simplify right side
    302,913.41x = 69,784,396,886.94
  5. Step 5: Solve for x
    x = 69,784,396,886.94/302,913.41
  6. Step 6: Final answer
    x = 230,377.38

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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.