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Finding the Fourth Proportional to 400,513.95, 600,992.06 and 164,022.30

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Solution

The fourth proportional to 400,513.95, 600,992.06 and 164,022.30 is: 246,124.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,513.95 : 600,992.06 = 164,022.30 : x
  2. Step 2: Convert to fraction form
    400,513.95/600,992.06 = 164,022.30/x
  3. Step 3: Cross multiply
    400,513.95x = 600,992.06 × 164,022.30
  4. Step 4: Simplify right side
    400,513.95x = 98,576,099,142.83
  5. Step 5: Solve for x
    x = 98,576,099,142.83/400,513.95
  6. Step 6: Final answer
    x = 246,124.01

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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.