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Finding the Fourth Proportional to 298,284.81, 411,633.11 and 164,148.81

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Solution

The fourth proportional to 298,284.81, 411,633.11 and 164,148.81 is: 226,525.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,284.81 : 411,633.11 = 164,148.81 : x
  2. Step 2: Convert to fraction form
    298,284.81/411,633.11 = 164,148.81/x
  3. Step 3: Cross multiply
    298,284.81x = 411,633.11 × 164,148.81
  4. Step 4: Simplify right side
    298,284.81x = 67,569,085,163.10
  5. Step 5: Solve for x
    x = 67,569,085,163.10/298,284.81
  6. Step 6: Final answer
    x = 226,525.40

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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.