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Finding the Fourth Proportional to 682,190.34, 941,791.76 and 410,318.92

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Solution

The fourth proportional to 682,190.34, 941,791.76 and 410,318.92 is: 566,462.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,190.34 : 941,791.76 = 410,318.92 : x
  2. Step 2: Convert to fraction form
    682,190.34/941,791.76 = 410,318.92/x
  3. Step 3: Cross multiply
    682,190.34x = 941,791.76 × 410,318.92
  4. Step 4: Simplify right side
    682,190.34x = 386,434,977,828.10
  5. Step 5: Solve for x
    x = 386,434,977,828.10/682,190.34
  6. Step 6: Final answer
    x = 566,462.11

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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.