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Finding the Fourth Proportional to 269,033.67, 403,410.38 and 100,415.32

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Solution

The fourth proportional to 269,033.67, 403,410.38 and 100,415.32 is: 150,570.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,033.67 : 403,410.38 = 100,415.32 : x
  2. Step 2: Convert to fraction form
    269,033.67/403,410.38 = 100,415.32/x
  3. Step 3: Cross multiply
    269,033.67x = 403,410.38 × 100,415.32
  4. Step 4: Simplify right side
    269,033.67x = 40,508,580,888.42
  5. Step 5: Solve for x
    x = 40,508,580,888.42/269,033.67
  6. Step 6: Final answer
    x = 150,570.67

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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.