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Finding the Fourth Proportional to 302,197.29, 417,023.52 and 166,231.29

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Solution

The fourth proportional to 302,197.29, 417,023.52 and 166,231.29 is: 229,394.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,197.29 : 417,023.52 = 166,231.29 : x
  2. Step 2: Convert to fraction form
    302,197.29/417,023.52 = 166,231.29/x
  3. Step 3: Cross multiply
    302,197.29x = 417,023.52 × 166,231.29
  4. Step 4: Simplify right side
    302,197.29x = 69,322,357,689.94
  5. Step 5: Solve for x
    x = 69,322,357,689.94/302,197.29
  6. Step 6: Final answer
    x = 229,394.37

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1.5x scale

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.