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Finding the Fourth Proportional to 366,464.10, 505,741.20 and 205,371.02

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Solution

The fourth proportional to 366,464.10, 505,741.20 and 205,371.02 is: 283,423.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,464.10 : 505,741.20 = 205,371.02 : x
  2. Step 2: Convert to fraction form
    366,464.10/505,741.20 = 205,371.02/x
  3. Step 3: Cross multiply
    366,464.10x = 505,741.20 × 205,371.02
  4. Step 4: Simplify right side
    366,464.10x = 103,864,586,100.02
  5. Step 5: Solve for x
    x = 103,864,586,100.02/366,464.10
  6. Step 6: Final answer
    x = 283,423.63

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