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Finding the Fourth Proportional to 682,191.34, 941,793.14 and 410,319.92

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Solution

The fourth proportional to 682,191.34, 941,793.14 and 410,319.92 is: 566,463.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,191.34 : 941,793.14 = 410,319.92 : x
  2. Step 2: Convert to fraction form
    682,191.34/941,793.14 = 410,319.92/x
  3. Step 3: Cross multiply
    682,191.34x = 941,793.14 × 410,319.92
  4. Step 4: Simplify right side
    682,191.34x = 386,436,485,861.35
  5. Step 5: Solve for x
    x = 386,436,485,861.35/682,191.34
  6. Step 6: Final answer
    x = 566,463.49

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1.5x scale

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.