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Finding the Fourth Proportional to 457,598.22, 685,913.36 and 169,224.54

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Solution

The fourth proportional to 457,598.22, 685,913.36 and 169,224.54 is: 253,657.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,598.22 : 685,913.36 = 169,224.54 : x
  2. Step 2: Convert to fraction form
    457,598.22/685,913.36 = 169,224.54/x
  3. Step 3: Cross multiply
    457,598.22x = 685,913.36 × 169,224.54
  4. Step 4: Simplify right side
    457,598.22x = 116,073,372,825.85
  5. Step 5: Solve for x
    x = 116,073,372,825.85/457,598.22
  6. Step 6: Final answer
    x = 253,657.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.