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Finding the Fourth Proportional to 302,354.32, 417,162.39 and 194,986

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Solution

The fourth proportional to 302,354.32, 417,162.39 and 194,986 is: 269,024.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,354.32 : 417,162.39 = 194,986 : x
  2. Step 2: Convert to fraction form
    302,354.32/417,162.39 = 194,986/x
  3. Step 3: Cross multiply
    302,354.32x = 417,162.39 × 194,986
  4. Step 4: Simplify right side
    302,354.32x = 81,340,825,776.54
  5. Step 5: Solve for x
    x = 81,340,825,776.54/302,354.32
  6. Step 6: Final answer
    x = 269,024.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.