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Finding the Fourth Proportional to 362,908.02, 500,825.84 and 199,576.94

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Solution

The fourth proportional to 362,908.02, 500,825.84 and 199,576.94 is: 275,423.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,908.02 : 500,825.84 = 199,576.94 : x
  2. Step 2: Convert to fraction form
    362,908.02/500,825.84 = 199,576.94/x
  3. Step 3: Cross multiply
    362,908.02x = 500,825.84 × 199,576.94
  4. Step 4: Simplify right side
    362,908.02x = 99,953,288,620.13
  5. Step 5: Solve for x
    x = 99,953,288,620.13/362,908.02
  6. Step 6: Final answer
    x = 275,423.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.