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Finding the Fourth Proportional to 298,506.36, 411,946.62 and 162,546.03

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Solution

The fourth proportional to 298,506.36, 411,946.62 and 162,546.03 is: 224,317.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,506.36 : 411,946.62 = 162,546.03 : x
  2. Step 2: Convert to fraction form
    298,506.36/411,946.62 = 162,546.03/x
  3. Step 3: Cross multiply
    298,506.36x = 411,946.62 × 162,546.03
  4. Step 4: Simplify right side
    298,506.36x = 66,960,287,652.92
  5. Step 5: Solve for x
    x = 66,960,287,652.92/298,506.36
  6. Step 6: Final answer
    x = 224,317.79

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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.