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Finding the Fourth Proportional to 682,177.34, 941,773.82 and 410,305.92

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Solution

The fourth proportional to 682,177.34, 941,773.82 and 410,305.92 is: 566,444.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,177.34 : 941,773.82 = 410,305.92 : x
  2. Step 2: Convert to fraction form
    682,177.34/941,773.82 = 410,305.92/x
  3. Step 3: Cross multiply
    682,177.34x = 941,773.82 × 410,305.92
  4. Step 4: Simplify right side
    682,177.34x = 386,415,371,595.49
  5. Step 5: Solve for x
    x = 386,415,371,595.49/682,177.34
  6. Step 6: Final answer
    x = 566,444.17

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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.