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Finding the Fourth Proportional to 302,632.14, 417,492 and 195,236.64

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Solution

The fourth proportional to 302,632.14, 417,492 and 195,236.64 is: 269,336.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,632.14 : 417,492 = 195,236.64 : x
  2. Step 2: Convert to fraction form
    302,632.14/417,492 = 195,236.64/x
  3. Step 3: Cross multiply
    302,632.14x = 417,492 × 195,236.64
  4. Step 4: Simplify right side
    302,632.14x = 81,509,735,306.88
  5. Step 5: Solve for x
    x = 81,509,735,306.88/302,632.14
  6. Step 6: Final answer
    x = 269,336.02

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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.