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Finding the Fourth Proportional to 468,609.86, 646,684.70 and 253,749.92

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Solution

The fourth proportional to 468,609.86, 646,684.70 and 253,749.92 is: 350,176.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,609.86 : 646,684.70 = 253,749.92 : x
  2. Step 2: Convert to fraction form
    468,609.86/646,684.70 = 253,749.92/x
  3. Step 3: Cross multiply
    468,609.86x = 646,684.70 × 253,749.92
  4. Step 4: Simplify right side
    468,609.86x = 164,096,190,890.22
  5. Step 5: Solve for x
    x = 164,096,190,890.22/468,609.86
  6. Step 6: Final answer
    x = 350,176.56

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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.