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Finding the Fourth Proportional to 362,109.08, 499,770.60 and 211,206.08

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Solution

The fourth proportional to 362,109.08, 499,770.60 and 211,206.08 is: 291,499.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,109.08 : 499,770.60 = 211,206.08 : x
  2. Step 2: Convert to fraction form
    362,109.08/499,770.60 = 211,206.08/x
  3. Step 3: Cross multiply
    362,109.08x = 499,770.60 × 211,206.08
  4. Step 4: Simplify right side
    362,109.08x = 105,554,589,325.25
  5. Step 5: Solve for x
    x = 105,554,589,325.25/362,109.08
  6. Step 6: Final answer
    x = 291,499.43

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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.