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Finding the Fourth Proportional to 468,654.14, 646,743.33 and 253,794.56

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Solution

The fourth proportional to 468,654.14, 646,743.33 and 253,794.56 is: 350,236.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,654.14 : 646,743.33 = 253,794.56 : x
  2. Step 2: Convert to fraction form
    468,654.14/646,743.33 = 253,794.56/x
  3. Step 3: Cross multiply
    468,654.14x = 646,743.33 × 253,794.56
  4. Step 4: Simplify right side
    468,654.14x = 164,139,935,636.57
  5. Step 5: Solve for x
    x = 164,139,935,636.57/468,654.14
  6. Step 6: Final answer
    x = 350,236.82

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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.