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Finding the Fourth Proportional to 400,846.16, 601,268.16 and 164,189

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Solution

The fourth proportional to 400,846.16, 601,268.16 and 164,189 is: 246,283.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,846.16 : 601,268.16 = 164,189 : x
  2. Step 2: Convert to fraction form
    400,846.16/601,268.16 = 164,189/x
  3. Step 3: Cross multiply
    400,846.16x = 601,268.16 × 164,189
  4. Step 4: Simplify right side
    400,846.16x = 98,721,617,922.24
  5. Step 5: Solve for x
    x = 98,721,617,922.24/400,846.16
  6. Step 6: Final answer
    x = 246,283.06

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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.