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Finding the Fourth Proportional to 297,932.96, 411,146.60 and 161,966.76

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Solution

The fourth proportional to 297,932.96, 411,146.60 and 161,966.76 is: 223,513.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,932.96 : 411,146.60 = 161,966.76 : x
  2. Step 2: Convert to fraction form
    297,932.96/411,146.60 = 161,966.76/x
  3. Step 3: Cross multiply
    297,932.96x = 411,146.60 × 161,966.76
  4. Step 4: Simplify right side
    297,932.96x = 66,592,081,877.18
  5. Step 5: Solve for x
    x = 66,592,081,877.18/297,932.96
  6. Step 6: Final answer
    x = 223,513.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.