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Finding the Fourth Proportional to 302,427.42, 417,346.52 and 166,458.44

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Solution

The fourth proportional to 302,427.42, 417,346.52 and 166,458.44 is: 229,710.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,427.42 : 417,346.52 = 166,458.44 : x
  2. Step 2: Convert to fraction form
    302,427.42/417,346.52 = 166,458.44/x
  3. Step 3: Cross multiply
    302,427.42x = 417,346.52 × 166,458.44
  4. Step 4: Simplify right side
    302,427.42x = 69,470,847,739.60
  5. Step 5: Solve for x
    x = 69,470,847,739.60/302,427.42
  6. Step 6: Final answer
    x = 229,710.81

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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.