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Finding the Fourth Proportional to 474,640.64, 711,942.24 and 174,991.68

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Solution

The fourth proportional to 474,640.64, 711,942.24 and 174,991.68 is: 262,480.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,640.64 : 711,942.24 = 174,991.68 : x
  2. Step 2: Convert to fraction form
    474,640.64/711,942.24 = 174,991.68/x
  3. Step 3: Cross multiply
    474,640.64x = 711,942.24 × 174,991.68
  4. Step 4: Simplify right side
    474,640.64x = 124,583,968,640.56
  5. Step 5: Solve for x
    x = 124,583,968,640.56/474,640.64
  6. Step 6: Final answer
    x = 262,480.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.