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Finding the Fourth Proportional to 468,806.30, 646,955.79 and 253,946.36

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Solution

The fourth proportional to 468,806.30, 646,955.79 and 253,946.36 is: 350,447.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,806.30 : 646,955.79 = 253,946.36 : x
  2. Step 2: Convert to fraction form
    468,806.30/646,955.79 = 253,946.36/x
  3. Step 3: Cross multiply
    468,806.30x = 646,955.79 × 253,946.36
  4. Step 4: Simplify right side
    468,806.30x = 164,292,067,951.42
  5. Step 5: Solve for x
    x = 164,292,067,951.42/468,806.30
  6. Step 6: Final answer
    x = 350,447.65

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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.