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Finding the Fourth Proportional to 310,182.21, 427,942.44 and 202,815.09

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Solution

The fourth proportional to 310,182.21, 427,942.44 and 202,815.09 is: 279,813.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,182.21 : 427,942.44 = 202,815.09 : x
  2. Step 2: Convert to fraction form
    310,182.21/427,942.44 = 202,815.09/x
  3. Step 3: Cross multiply
    310,182.21x = 427,942.44 × 202,815.09
  4. Step 4: Simplify right side
    310,182.21x = 86,793,184,483.42
  5. Step 5: Solve for x
    x = 86,793,184,483.42/310,182.21
  6. Step 6: Final answer
    x = 279,813.55

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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.