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Finding the Fourth Proportional to 297,842.66, 411,026.01 and 161,876.60

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Solution

The fourth proportional to 297,842.66, 411,026.01 and 161,876.60 is: 223,391.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,842.66 : 411,026.01 = 161,876.60 : x
  2. Step 2: Convert to fraction form
    297,842.66/411,026.01 = 161,876.60/x
  3. Step 3: Cross multiply
    297,842.66x = 411,026.01 × 161,876.60
  4. Step 4: Simplify right side
    297,842.66x = 66,535,490,955.24
  5. Step 5: Solve for x
    x = 66,535,490,955.24/297,842.66
  6. Step 6: Final answer
    x = 223,391.41

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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.