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Finding the Fourth Proportional to 366,236.56, 549,268.80 and 206,382.16

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Solution

The fourth proportional to 366,236.56, 549,268.80 and 206,382.16 is: 309,524.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,236.56 : 549,268.80 = 206,382.16 : x
  2. Step 2: Convert to fraction form
    366,236.56/549,268.80 = 206,382.16/x
  3. Step 3: Cross multiply
    366,236.56x = 549,268.80 × 206,382.16
  4. Step 4: Simplify right side
    366,236.56x = 113,359,281,364.61
  5. Step 5: Solve for x
    x = 113,359,281,364.61/366,236.56
  6. Step 6: Final answer
    x = 309,524.75

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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.