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Finding the Fourth Proportional to 400,896.15, 601,343.82 and 164,239.26

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Solution

The fourth proportional to 400,896.15, 601,343.82 and 164,239.26 is: 246,358.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,896.15 : 601,343.82 = 164,239.26 : x
  2. Step 2: Convert to fraction form
    400,896.15/601,343.82 = 164,239.26/x
  3. Step 3: Cross multiply
    400,896.15x = 601,343.82 × 164,239.26
  4. Step 4: Simplify right side
    400,896.15x = 98,764,264,002.37
  5. Step 5: Solve for x
    x = 98,764,264,002.37/400,896.15
  6. Step 6: Final answer
    x = 246,358.72

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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.