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Finding the Fourth Proportional to 298,419.96, 411,795.18 and 164,283.96

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Solution

The fourth proportional to 298,419.96, 411,795.18 and 164,283.96 is: 226,698.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,419.96 : 411,795.18 = 164,283.96 : x
  2. Step 2: Convert to fraction form
    298,419.96/411,795.18 = 164,283.96/x
  3. Step 3: Cross multiply
    298,419.96x = 411,795.18 × 164,283.96
  4. Step 4: Simplify right side
    298,419.96x = 67,651,342,879.31
  5. Step 5: Solve for x
    x = 67,651,342,879.31/298,419.96
  6. Step 6: Final answer
    x = 226,698.45

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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.