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Finding the Fourth Proportional to 468,716.52, 646,825.56 and 253,851.66

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Solution

The fourth proportional to 468,716.52, 646,825.56 and 253,851.66 is: 350,313.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,716.52 : 646,825.56 = 253,851.66 : x
  2. Step 2: Convert to fraction form
    468,716.52/646,825.56 = 253,851.66/x
  3. Step 3: Cross multiply
    468,716.52x = 646,825.56 × 253,851.66
  4. Step 4: Simplify right side
    468,716.52x = 164,197,742,136.43
  5. Step 5: Solve for x
    x = 164,197,742,136.43/468,716.52
  6. Step 6: Final answer
    x = 350,313.54

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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.