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Finding the Fourth Proportional to 468,676.34, 646,769.90 and 253,811.42

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Solution

The fourth proportional to 468,676.34, 646,769.90 and 253,811.42 is: 350,257.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,676.34 : 646,769.90 = 253,811.42 : x
  2. Step 2: Convert to fraction form
    468,676.34/646,769.90 = 253,811.42/x
  3. Step 3: Cross multiply
    468,676.34x = 646,769.90 × 253,811.42
  4. Step 4: Simplify right side
    468,676.34x = 164,157,586,732.26
  5. Step 5: Solve for x
    x = 164,157,586,732.26/468,676.34
  6. Step 6: Final answer
    x = 350,257.89

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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.