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Finding the Fourth Proportional to 467,666.26, 644,949.03 and 306,462.76

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Solution

The fourth proportional to 467,666.26, 644,949.03 and 306,462.76 is: 422,636.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,666.26 : 644,949.03 = 306,462.76 : x
  2. Step 2: Convert to fraction form
    467,666.26/644,949.03 = 306,462.76/x
  3. Step 3: Cross multiply
    467,666.26x = 644,949.03 × 306,462.76
  4. Step 4: Simplify right side
    467,666.26x = 197,652,859,329.99
  5. Step 5: Solve for x
    x = 197,652,859,329.99/467,666.26
  6. Step 6: Final answer
    x = 422,636.56

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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.