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Finding the Fourth Proportional to 262,298.10, 393,447.15 and 205,217.40

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Solution

The fourth proportional to 262,298.10, 393,447.15 and 205,217.40 is: 307,826.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,298.10 : 393,447.15 = 205,217.40 : x
  2. Step 2: Convert to fraction form
    262,298.10/393,447.15 = 205,217.40/x
  3. Step 3: Cross multiply
    262,298.10x = 393,447.15 × 205,217.40
  4. Step 4: Simplify right side
    262,298.10x = 80,742,201,160.41
  5. Step 5: Solve for x
    x = 80,742,201,160.41/262,298.10
  6. Step 6: Final answer
    x = 307,826.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.