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Finding the Fourth Proportional to 1,400,109, 2,100,163.50 and 402,837

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Solution

The fourth proportional to 1,400,109, 2,100,163.50 and 402,837 is: 604,255.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400,109 : 2,100,163.50 = 402,837 : x
  2. Step 2: Convert to fraction form
    1,400,109/2,100,163.50 = 402,837/x
  3. Step 3: Cross multiply
    1,400,109x = 2,100,163.50 × 402,837
  4. Step 4: Simplify right side
    1,400,109x = 846,023,563,849.50
  5. Step 5: Solve for x
    x = 846,023,563,849.50/1,400,109
  6. Step 6: Final answer
    x = 604,255.50

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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.