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Finding the Fourth Proportional to 298,613.80, 412,086.96 and 164,477.80

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Solution

The fourth proportional to 298,613.80, 412,086.96 and 164,477.80 is: 226,979.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,613.80 : 412,086.96 = 164,477.80 : x
  2. Step 2: Convert to fraction form
    298,613.80/412,086.96 = 164,477.80/x
  3. Step 3: Cross multiply
    298,613.80x = 412,086.96 × 164,477.80
  4. Step 4: Simplify right side
    298,613.80x = 67,779,156,589.49
  5. Step 5: Solve for x
    x = 67,779,156,589.49/298,613.80
  6. Step 6: Final answer
    x = 226,979.32

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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.