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Finding the Fourth Proportional to 297,710.66, 410,842.69 and 161,744.58

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Solution

The fourth proportional to 297,710.66, 410,842.69 and 161,744.58 is: 223,208.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,710.66 : 410,842.69 = 161,744.58 : x
  2. Step 2: Convert to fraction form
    297,710.66/410,842.69 = 161,744.58/x
  3. Step 3: Cross multiply
    297,710.66x = 410,842.69 × 161,744.58
  4. Step 4: Simplify right side
    297,710.66x = 66,451,577,935.76
  5. Step 5: Solve for x
    x = 66,451,577,935.76/297,710.66
  6. Step 6: Final answer
    x = 223,208.59

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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.