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Finding the Fourth Proportional to 297,508.73, 410,459.43 and 190,141.61

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Solution

The fourth proportional to 297,508.73, 410,459.43 and 190,141.61 is: 262,329.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,508.73 : 410,459.43 = 190,141.61 : x
  2. Step 2: Convert to fraction form
    297,508.73/410,459.43 = 190,141.61/x
  3. Step 3: Cross multiply
    297,508.73x = 410,459.43 × 190,141.61
  4. Step 4: Simplify right side
    297,508.73x = 78,045,415,520.62
  5. Step 5: Solve for x
    x = 78,045,415,520.62/297,508.73
  6. Step 6: Final answer
    x = 262,329.84

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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.