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Finding the Fourth Proportional to 302,518.43, 417,459.57 and 166,525.82

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Solution

The fourth proportional to 302,518.43, 417,459.57 and 166,525.82 is: 229,796.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,518.43 : 417,459.57 = 166,525.82 : x
  2. Step 2: Convert to fraction form
    302,518.43/417,459.57 = 166,525.82/x
  3. Step 3: Cross multiply
    302,518.43x = 417,459.57 × 166,525.82
  4. Step 4: Simplify right side
    302,518.43x = 69,517,797,211.10
  5. Step 5: Solve for x
    x = 69,517,797,211.10/302,518.43
  6. Step 6: Final answer
    x = 229,796.90

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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.