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Finding the Fourth Proportional to 297,318.83, 410,302.98 and 161,353.95

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Solution

The fourth proportional to 297,318.83, 410,302.98 and 161,353.95 is: 222,670.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,318.83 : 410,302.98 = 161,353.95 : x
  2. Step 2: Convert to fraction form
    297,318.83/410,302.98 = 161,353.95/x
  3. Step 3: Cross multiply
    297,318.83x = 410,302.98 × 161,353.95
  4. Step 4: Simplify right side
    297,318.83x = 66,204,006,519.77
  5. Step 5: Solve for x
    x = 66,204,006,519.77/297,318.83
  6. Step 6: Final answer
    x = 222,670.08

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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.