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Finding the Fourth Proportional to 567,090.56, 782,584.54 and 312,441.75

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Solution

The fourth proportional to 567,090.56, 782,584.54 and 312,441.75 is: 431,169.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,090.56 : 782,584.54 = 312,441.75 : x
  2. Step 2: Convert to fraction form
    567,090.56/782,584.54 = 312,441.75/x
  3. Step 3: Cross multiply
    567,090.56x = 782,584.54 × 312,441.75
  4. Step 4: Simplify right side
    567,090.56x = 244,512,083,200.55
  5. Step 5: Solve for x
    x = 244,512,083,200.55/567,090.56
  6. Step 6: Final answer
    x = 431,169.38

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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.