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Finding the Fourth Proportional to 298,232.49, 411,548.52 and 162,266.97

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Solution

The fourth proportional to 298,232.49, 411,548.52 and 162,266.97 is: 223,921.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,232.49 : 411,548.52 = 162,266.97 : x
  2. Step 2: Convert to fraction form
    298,232.49/411,548.52 = 162,266.97/x
  3. Step 3: Cross multiply
    298,232.49x = 411,548.52 × 162,266.97
  4. Step 4: Simplify right side
    298,232.49x = 66,780,731,348.38
  5. Step 5: Solve for x
    x = 66,780,731,348.38/298,232.49
  6. Step 6: Final answer
    x = 223,921.72

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1.5x scale

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.