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Finding the Fourth Proportional to 297,675.91, 410,795.60 and 161,710.88

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Solution

The fourth proportional to 297,675.91, 410,795.60 and 161,710.88 is: 223,162.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,675.91 : 410,795.60 = 161,710.88 : x
  2. Step 2: Convert to fraction form
    297,675.91/410,795.60 = 161,710.88/x
  3. Step 3: Cross multiply
    297,675.91x = 410,795.60 × 161,710.88
  4. Step 4: Simplify right side
    297,675.91x = 66,430,118,333.94
  5. Step 5: Solve for x
    x = 66,430,118,333.94/297,675.91
  6. Step 6: Final answer
    x = 223,162.56

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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.