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Finding the Fourth Proportional to 682,842.30, 942,322.41 and 376,918.77

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Solution

The fourth proportional to 682,842.30, 942,322.41 and 376,918.77 is: 520,147.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,842.30 : 942,322.41 = 376,918.77 : x
  2. Step 2: Convert to fraction form
    682,842.30/942,322.41 = 376,918.77/x
  3. Step 3: Cross multiply
    682,842.30x = 942,322.41 × 376,918.77
  4. Step 4: Simplify right side
    682,842.30x = 355,179,003,720.64
  5. Step 5: Solve for x
    x = 355,179,003,720.64/682,842.30
  6. Step 6: Final answer
    x = 520,147.92

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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.