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Finding the Fourth Proportional to 298,246.16, 411,567.31 and 162,280.64

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Solution

The fourth proportional to 298,246.16, 411,567.31 and 162,280.64 is: 223,940.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,246.16 : 411,567.31 = 162,280.64 : x
  2. Step 2: Convert to fraction form
    298,246.16/411,567.31 = 162,280.64/x
  3. Step 3: Cross multiply
    298,246.16x = 411,567.31 × 162,280.64
  4. Step 4: Simplify right side
    298,246.16x = 66,789,406,469.88
  5. Step 5: Solve for x
    x = 66,789,406,469.88/298,246.16
  6. Step 6: Final answer
    x = 223,940.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.