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Finding the Fourth Proportional to 457,597.22, 685,911.86 and 169,223.54

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Solution

The fourth proportional to 457,597.22, 685,911.86 and 169,223.54 is: 253,656.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,597.22 : 685,911.86 = 169,223.54 : x
  2. Step 2: Convert to fraction form
    457,597.22/685,911.86 = 169,223.54/x
  3. Step 3: Cross multiply
    457,597.22x = 685,911.86 × 169,223.54
  4. Step 4: Simplify right side
    457,597.22x = 116,072,433,077.18
  5. Step 5: Solve for x
    x = 116,072,433,077.18/457,597.22
  6. Step 6: Final answer
    x = 253,656.33

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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.