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Finding the Fourth Proportional to 288,188.76, 397,784.96 and 167,384.34

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Solution

The fourth proportional to 288,188.76, 397,784.96 and 167,384.34 is: 231,039.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,188.76 : 397,784.96 = 167,384.34 : x
  2. Step 2: Convert to fraction form
    288,188.76/397,784.96 = 167,384.34/x
  3. Step 3: Cross multiply
    288,188.76x = 397,784.96 × 167,384.34
  4. Step 4: Simplify right side
    288,188.76x = 66,582,972,991.53
  5. Step 5: Solve for x
    x = 66,582,972,991.53/288,188.76
  6. Step 6: Final answer
    x = 231,039.45

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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.