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Finding the Fourth Proportional to 567,134.70, 782,120 and 413,930.36

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Solution

The fourth proportional to 567,134.70, 782,120 and 413,930.36 is: 570,840.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,134.70 : 782,120 = 413,930.36 : x
  2. Step 2: Convert to fraction form
    567,134.70/782,120 = 413,930.36/x
  3. Step 3: Cross multiply
    567,134.70x = 782,120 × 413,930.36
  4. Step 4: Simplify right side
    567,134.70x = 323,743,213,163.20
  5. Step 5: Solve for x
    x = 323,743,213,163.20/567,134.70
  6. Step 6: Final answer
    x = 570,840.07

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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.