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Finding the Fourth Proportional to 358,117.42, 494,288.32 and 205,245.20

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Solution

The fourth proportional to 358,117.42, 494,288.32 and 205,245.20 is: 283,287.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,117.42 : 494,288.32 = 205,245.20 : x
  2. Step 2: Convert to fraction form
    358,117.42/494,288.32 = 205,245.20/x
  3. Step 3: Cross multiply
    358,117.42x = 494,288.32 × 205,245.20
  4. Step 4: Simplify right side
    358,117.42x = 101,450,305,096.06
  5. Step 5: Solve for x
    x = 101,450,305,096.06/358,117.42
  6. Step 6: Final answer
    x = 283,287.83

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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.