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Finding the Fourth Proportional to 455,216.40, 682,241.40 and 405,061.20

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Solution

The fourth proportional to 455,216.40, 682,241.40 and 405,061.20 is: 607,072.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,216.40 : 682,241.40 = 405,061.20 : x
  2. Step 2: Convert to fraction form
    455,216.40/682,241.40 = 405,061.20/x
  3. Step 3: Cross multiply
    455,216.40x = 682,241.40 × 405,061.20
  4. Step 4: Simplify right side
    455,216.40x = 276,349,520,173.68
  5. Step 5: Solve for x
    x = 276,349,520,173.68/455,216.40
  6. Step 6: Final answer
    x = 607,072.86

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Why These Related Problems?

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