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Finding the Fourth Proportional to 298,164.48, 411,474.50 and 162,206.08

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Solution

The fourth proportional to 298,164.48, 411,474.50 and 162,206.08 is: 223,848.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,164.48 : 411,474.50 = 162,206.08 : x
  2. Step 2: Convert to fraction form
    298,164.48/411,474.50 = 162,206.08/x
  3. Step 3: Cross multiply
    298,164.48x = 411,474.50 × 162,206.08
  4. Step 4: Simplify right side
    298,164.48x = 66,743,665,664.96
  5. Step 5: Solve for x
    x = 66,743,665,664.96/298,164.48
  6. Step 6: Final answer
    x = 223,848.48

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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.