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Finding the Fourth Proportional to 309,513.60, 427,219.65 and 202,099.73

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Solution

The fourth proportional to 309,513.60, 427,219.65 and 202,099.73 is: 278,956.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,513.60 : 427,219.65 = 202,099.73 : x
  2. Step 2: Convert to fraction form
    309,513.60/427,219.65 = 202,099.73/x
  3. Step 3: Cross multiply
    309,513.60x = 427,219.65 × 202,099.73
  4. Step 4: Simplify right side
    309,513.60x = 86,340,973,779.60
  5. Step 5: Solve for x
    x = 86,340,973,779.60/309,513.60
  6. Step 6: Final answer
    x = 278,956.96

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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.