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Finding the Fourth Proportional to 1,761,425, 2,642,137.50 and 431,729

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Solution

The fourth proportional to 1,761,425, 2,642,137.50 and 431,729 is: 647,593.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,761,425 : 2,642,137.50 = 431,729 : x
  2. Step 2: Convert to fraction form
    1,761,425/2,642,137.50 = 431,729/x
  3. Step 3: Cross multiply
    1,761,425x = 2,642,137.50 × 431,729
  4. Step 4: Simplify right side
    1,761,425x = 1,140,687,380,737.50
  5. Step 5: Solve for x
    x = 1,140,687,380,737.50/1,761,425
  6. Step 6: Final answer
    x = 647,593.50

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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.