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Finding the Fourth Proportional to 754,933, 1,041,814.84 and 415,408.56

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Solution

The fourth proportional to 754,933, 1,041,814.84 and 415,408.56 is: 573,267.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    754,933 : 1,041,814.84 = 415,408.56 : x
  2. Step 2: Convert to fraction form
    754,933/1,041,814.84 = 415,408.56/x
  3. Step 3: Cross multiply
    754,933x = 1,041,814.84 × 415,408.56
  4. Step 4: Simplify right side
    754,933x = 432,778,802,471.03
  5. Step 5: Solve for x
    x = 432,778,802,471.03/754,933
  6. Step 6: Final answer
    x = 573,267.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.