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Finding the Fourth Proportional to 297,862.32, 411,052.74 and 161,896.59

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Solution

The fourth proportional to 297,862.32, 411,052.74 and 161,896.59 is: 223,418.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,862.32 : 411,052.74 = 161,896.59 : x
  2. Step 2: Convert to fraction form
    297,862.32/411,052.74 = 161,896.59/x
  3. Step 3: Cross multiply
    297,862.32x = 411,052.74 × 161,896.59
  4. Step 4: Simplify right side
    297,862.32x = 66,548,034,767.60
  5. Step 5: Solve for x
    x = 66,548,034,767.60/297,862.32
  6. Step 6: Final answer
    x = 223,418.77

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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.