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Finding the Fourth Proportional to 297,562.86, 410,635.44 and 161,595.84

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Solution

The fourth proportional to 297,562.86, 410,635.44 and 161,595.84 is: 223,001.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,562.86 : 410,635.44 = 161,595.84 : x
  2. Step 2: Convert to fraction form
    297,562.86/410,635.44 = 161,595.84/x
  3. Step 3: Cross multiply
    297,562.86x = 410,635.44 × 161,595.84
  4. Step 4: Simplify right side
    297,562.86x = 66,356,978,860.57
  5. Step 5: Solve for x
    x = 66,356,978,860.57/297,562.86
  6. Step 6: Final answer
    x = 223,001.55

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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.