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Finding the Fourth Proportional to 302,431.64, 417,352.37 and 166,462.68

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Solution

The fourth proportional to 302,431.64, 417,352.37 and 166,462.68 is: 229,716.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,431.64 : 417,352.37 = 166,462.68 : x
  2. Step 2: Convert to fraction form
    302,431.64/417,352.37 = 166,462.68/x
  3. Step 3: Cross multiply
    302,431.64x = 417,352.37 × 166,462.68
  4. Step 4: Simplify right side
    302,431.64x = 69,473,594,014.55
  5. Step 5: Solve for x
    x = 69,473,594,014.55/302,431.64
  6. Step 6: Final answer
    x = 229,716.69

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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.