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Finding the Fourth Proportional to 362,101.08, 499,759.56 and 211,198.08

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Solution

The fourth proportional to 362,101.08, 499,759.56 and 211,198.08 is: 291,488.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,101.08 : 499,759.56 = 211,198.08 : x
  2. Step 2: Convert to fraction form
    362,101.08/499,759.56 = 211,198.08/x
  3. Step 3: Cross multiply
    362,101.08x = 499,759.56 × 211,198.08
  4. Step 4: Simplify right side
    362,101.08x = 105,548,259,533.65
  5. Step 5: Solve for x
    x = 105,548,259,533.65/362,101.08
  6. Step 6: Final answer
    x = 291,488.39

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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.