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Finding the Fourth Proportional to 297,796.48, 410,960.82 and 161,831.56

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Solution

The fourth proportional to 297,796.48, 410,960.82 and 161,831.56 is: 223,328.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,796.48 : 410,960.82 = 161,831.56 : x
  2. Step 2: Convert to fraction form
    297,796.48/410,960.82 = 161,831.56/x
  3. Step 3: Cross multiply
    297,796.48x = 410,960.82 × 161,831.56
  4. Step 4: Simplify right side
    297,796.48x = 66,506,430,599.48
  5. Step 5: Solve for x
    x = 66,506,430,599.48/297,796.48
  6. Step 6: Final answer
    x = 223,328.46

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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.