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Finding the Fourth Proportional to 477,049.50, 658,300.47 and 262,189.76

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Solution

The fourth proportional to 477,049.50, 658,300.47 and 262,189.76 is: 361,806.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,049.50 : 658,300.47 = 262,189.76 : x
  2. Step 2: Convert to fraction form
    477,049.50/658,300.47 = 262,189.76/x
  3. Step 3: Cross multiply
    477,049.50x = 658,300.47 × 262,189.76
  4. Step 4: Simplify right side
    477,049.50x = 172,599,638,945.69
  5. Step 5: Solve for x
    x = 172,599,638,945.69/477,049.50
  6. Step 6: Final answer
    x = 361,806.56

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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.