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Finding the Fourth Proportional to 302,462.84, 417,384.39 and 166,493.98

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Solution

The fourth proportional to 302,462.84, 417,384.39 and 166,493.98 is: 229,753.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,462.84 : 417,384.39 = 166,493.98 : x
  2. Step 2: Convert to fraction form
    302,462.84/417,384.39 = 166,493.98/x
  3. Step 3: Cross multiply
    302,462.84x = 417,384.39 × 166,493.98
  4. Step 4: Simplify right side
    302,462.84x = 69,491,989,427.06
  5. Step 5: Solve for x
    x = 69,491,989,427.06/302,462.84
  6. Step 6: Final answer
    x = 229,753.81

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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.