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Finding the Fourth Proportional to 285,484.40, 393,971.64 and 158,162

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Solution

The fourth proportional to 285,484.40, 393,971.64 and 158,162 is: 218,265.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,484.40 : 393,971.64 = 158,162 : x
  2. Step 2: Convert to fraction form
    285,484.40/393,971.64 = 158,162/x
  3. Step 3: Cross multiply
    285,484.40x = 393,971.64 × 158,162
  4. Step 4: Simplify right side
    285,484.40x = 62,311,342,525.68
  5. Step 5: Solve for x
    x = 62,311,342,525.68/285,484.40
  6. Step 6: Final answer
    x = 218,265.32

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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.