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Finding the Fourth Proportional to 548,659.94, 822,242.00 and 264,329.80

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Solution

The fourth proportional to 548,659.94, 822,242.00 and 264,329.80 is: 396,134.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,659.94 : 822,242.00 = 264,329.80 : x
  2. Step 2: Convert to fraction form
    548,659.94/822,242.00 = 264,329.80/x
  3. Step 3: Cross multiply
    548,659.94x = 822,242.00 × 264,329.80
  4. Step 4: Simplify right side
    548,659.94x = 217,343,062,016.82
  5. Step 5: Solve for x
    x = 217,343,062,016.82/548,659.94
  6. Step 6: Final answer
    x = 396,134.38

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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.