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Finding the Fourth Proportional to 735,253.67, 1,014,745.22 and 412,963.76

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Solution

The fourth proportional to 735,253.67, 1,014,745.22 and 412,963.76 is: 569,943.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,253.67 : 1,014,745.22 = 412,963.76 : x
  2. Step 2: Convert to fraction form
    735,253.67/1,014,745.22 = 412,963.76/x
  3. Step 3: Cross multiply
    735,253.67x = 1,014,745.22 × 412,963.76
  4. Step 4: Simplify right side
    735,253.67x = 419,052,994,354.68
  5. Step 5: Solve for x
    x = 419,052,994,354.68/735,253.67
  6. Step 6: Final answer
    x = 569,943.43

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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.