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Finding the Fourth Proportional to 596,672.56, 823,200.32 and 338,519.08

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Solution

The fourth proportional to 596,672.56, 823,200.32 and 338,519.08 is: 467,038.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,672.56 : 823,200.32 = 338,519.08 : x
  2. Step 2: Convert to fraction form
    596,672.56/823,200.32 = 338,519.08/x
  3. Step 3: Cross multiply
    596,672.56x = 823,200.32 × 338,519.08
  4. Step 4: Simplify right side
    596,672.56x = 278,669,014,982.11
  5. Step 5: Solve for x
    x = 278,669,014,982.11/596,672.56
  6. Step 6: Final answer
    x = 467,038.43

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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.