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Finding the Fourth Proportional to 682,920.38, 942,405.42 and 376,990.19

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Solution

The fourth proportional to 682,920.38, 942,405.42 and 376,990.19 is: 520,232.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,920.38 : 942,405.42 = 376,990.19 : x
  2. Step 2: Convert to fraction form
    682,920.38/942,405.42 = 376,990.19/x
  3. Step 3: Cross multiply
    682,920.38x = 942,405.42 × 376,990.19
  4. Step 4: Simplify right side
    682,920.38x = 355,277,598,342.83
  5. Step 5: Solve for x
    x = 355,277,598,342.83/682,920.38
  6. Step 6: Final answer
    x = 520,232.82

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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.