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Finding the Fourth Proportional to 468,958.41, 647,160.64 and 254,099.33

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Solution

The fourth proportional to 468,958.41, 647,160.64 and 254,099.33 is: 350,656.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,958.41 : 647,160.64 = 254,099.33 : x
  2. Step 2: Convert to fraction form
    468,958.41/647,160.64 = 254,099.33/x
  3. Step 3: Cross multiply
    468,958.41x = 647,160.64 × 254,099.33
  4. Step 4: Simplify right side
    468,958.41x = 164,443,083,582.17
  5. Step 5: Solve for x
    x = 164,443,083,582.17/468,958.41
  6. Step 6: Final answer
    x = 350,656.01

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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.