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Finding the Fourth Proportional to 297,828.09, 411,005.94 and 161,862.03

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Solution

The fourth proportional to 297,828.09, 411,005.94 and 161,862.03 is: 223,371.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,828.09 : 411,005.94 = 161,862.03 : x
  2. Step 2: Convert to fraction form
    297,828.09/411,005.94 = 161,862.03/x
  3. Step 3: Cross multiply
    297,828.09x = 411,005.94 × 161,862.03
  4. Step 4: Simplify right side
    297,828.09x = 66,526,255,790.46
  5. Step 5: Solve for x
    x = 66,526,255,790.46/297,828.09
  6. Step 6: Final answer
    x = 223,371.33

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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.