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Finding the Fourth Proportional to 599,501.85, 827,312.76 and 323,859.80

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Solution

The fourth proportional to 599,501.85, 827,312.76 and 323,859.80 is: 446,926.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,501.85 : 827,312.76 = 323,859.80 : x
  2. Step 2: Convert to fraction form
    599,501.85/827,312.76 = 323,859.80/x
  3. Step 3: Cross multiply
    599,501.85x = 827,312.76 × 323,859.80
  4. Step 4: Simplify right side
    599,501.85x = 267,933,344,991.05
  5. Step 5: Solve for x
    x = 267,933,344,991.05/599,501.85
  6. Step 6: Final answer
    x = 446,926.64

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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.