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Finding the Fourth Proportional to 548,992.30, 823,395.04 and 149,539.64

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Solution

The fourth proportional to 548,992.30, 823,395.04 and 149,539.64 is: 224,284.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,992.30 : 823,395.04 = 149,539.64 : x
  2. Step 2: Convert to fraction form
    548,992.30/823,395.04 = 149,539.64/x
  3. Step 3: Cross multiply
    548,992.30x = 823,395.04 × 149,539.64
  4. Step 4: Simplify right side
    548,992.30x = 123,130,197,859.39
  5. Step 5: Solve for x
    x = 123,130,197,859.39/548,992.30
  6. Step 6: Final answer
    x = 224,284.02

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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.