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Finding the Fourth Proportional to 468,231.71, 646,161.47 and 253,371.78

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Solution

The fourth proportional to 468,231.71, 646,161.47 and 253,371.78 is: 349,653.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,231.71 : 646,161.47 = 253,371.78 : x
  2. Step 2: Convert to fraction form
    468,231.71/646,161.47 = 253,371.78/x
  3. Step 3: Cross multiply
    468,231.71x = 646,161.47 × 253,371.78
  4. Step 4: Simplify right side
    468,231.71x = 163,719,081,504.60
  5. Step 5: Solve for x
    x = 163,719,081,504.60/468,231.71
  6. Step 6: Final answer
    x = 349,653.98

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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.