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Finding the Fourth Proportional to 302,457.44, 417,388.07 and 166,488.48

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Solution

The fourth proportional to 302,457.44, 417,388.07 and 166,488.48 is: 229,752.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,457.44 : 417,388.07 = 166,488.48 : x
  2. Step 2: Convert to fraction form
    302,457.44/417,388.07 = 166,488.48/x
  3. Step 3: Cross multiply
    302,457.44x = 417,388.07 × 166,488.48
  4. Step 4: Simplify right side
    302,457.44x = 69,490,305,760.65
  5. Step 5: Solve for x
    x = 69,490,305,760.65/302,457.44
  6. Step 6: Final answer
    x = 229,752.34

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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.