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Finding the Fourth Proportional to 682,176.84, 941,773.13 and 410,305.42

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Solution

The fourth proportional to 682,176.84, 941,773.13 and 410,305.42 is: 566,443.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,176.84 : 941,773.13 = 410,305.42 : x
  2. Step 2: Convert to fraction form
    682,176.84/941,773.13 = 410,305.42/x
  3. Step 3: Cross multiply
    682,176.84x = 941,773.13 × 410,305.42
  4. Step 4: Simplify right side
    682,176.84x = 386,414,619,649.37
  5. Step 5: Solve for x
    x = 386,414,619,649.37/682,176.84
  6. Step 6: Final answer
    x = 566,443.47

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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.