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Finding the Fourth Proportional to 264,213.68, 396,391.98 and 188,407.96

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Solution

The fourth proportional to 264,213.68, 396,391.98 and 188,407.96 is: 282,662.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,213.68 : 396,391.98 = 188,407.96 : x
  2. Step 2: Convert to fraction form
    264,213.68/396,391.98 = 188,407.96/x
  3. Step 3: Cross multiply
    264,213.68x = 396,391.98 × 188,407.96
  4. Step 4: Simplify right side
    264,213.68x = 74,683,404,312.16
  5. Step 5: Solve for x
    x = 74,683,404,312.16/264,213.68
  6. Step 6: Final answer
    x = 282,662.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.