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Finding the Fourth Proportional to 442,415.11, 610,515.27 and 261,185.42

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Solution

The fourth proportional to 442,415.11, 610,515.27 and 261,185.42 is: 360,425.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,415.11 : 610,515.27 = 261,185.42 : x
  2. Step 2: Convert to fraction form
    442,415.11/610,515.27 = 261,185.42/x
  3. Step 3: Cross multiply
    442,415.11x = 610,515.27 × 261,185.42
  4. Step 4: Simplify right side
    442,415.11x = 159,457,682,852.86
  5. Step 5: Solve for x
    x = 159,457,682,852.86/442,415.11
  6. Step 6: Final answer
    x = 360,425.49

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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.