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Finding the Fourth Proportional to 409,006.02, 613,541.84 and 142,760.64

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Solution

The fourth proportional to 409,006.02, 613,541.84 and 142,760.64 is: 214,152.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,006.02 : 613,541.84 = 142,760.64 : x
  2. Step 2: Convert to fraction form
    409,006.02/613,541.84 = 142,760.64/x
  3. Step 3: Cross multiply
    409,006.02x = 613,541.84 × 142,760.64
  4. Step 4: Simplify right side
    409,006.02x = 87,589,625,745.18
  5. Step 5: Solve for x
    x = 87,589,625,745.18/409,006.02
  6. Step 6: Final answer
    x = 214,152.41

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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.