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Finding the Fourth Proportional to 735,014.80, 1,014,249.83 and 412,651

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Solution

The fourth proportional to 735,014.80, 1,014,249.83 and 412,651 is: 569,418.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,014.80 : 1,014,249.83 = 412,651 : x
  2. Step 2: Convert to fraction form
    735,014.80/1,014,249.83 = 412,651/x
  3. Step 3: Cross multiply
    735,014.80x = 1,014,249.83 × 412,651
  4. Step 4: Simplify right side
    735,014.80x = 418,531,206,599.33
  5. Step 5: Solve for x
    x = 418,531,206,599.33/735,014.80
  6. Step 6: Final answer
    x = 569,418.75

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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.