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Finding the Fourth Proportional to 468,716.26, 646,825.22 and 253,851.42

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Solution

The fourth proportional to 468,716.26, 646,825.22 and 253,851.42 is: 350,313.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,716.26 : 646,825.22 = 253,851.42 : x
  2. Step 2: Convert to fraction form
    468,716.26/646,825.22 = 253,851.42/x
  3. Step 3: Cross multiply
    468,716.26x = 646,825.22 × 253,851.42
  4. Step 4: Simplify right side
    468,716.26x = 164,197,500,588.81
  5. Step 5: Solve for x
    x = 164,197,500,588.81/468,716.26
  6. Step 6: Final answer
    x = 350,313.22

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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.