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Finding the Fourth Proportional to 504,761.92, 758,242.38 and 305,176.36

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Solution

The fourth proportional to 504,761.92, 758,242.38 and 305,176.36 is: 458,429.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,761.92 : 758,242.38 = 305,176.36 : x
  2. Step 2: Convert to fraction form
    504,761.92/758,242.38 = 305,176.36/x
  3. Step 3: Cross multiply
    504,761.92x = 758,242.38 × 305,176.36
  4. Step 4: Simplify right side
    504,761.92x = 231,397,649,526.14
  5. Step 5: Solve for x
    x = 231,397,649,526.14/504,761.92
  6. Step 6: Final answer
    x = 458,429.29

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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.