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Finding the Fourth Proportional to 548,832.80, 823,767.60 and 338,880.80

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Solution

The fourth proportional to 548,832.80, 823,767.60 and 338,880.80 is: 508,641.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,832.80 : 823,767.60 = 338,880.80 : x
  2. Step 2: Convert to fraction form
    548,832.80/823,767.60 = 338,880.80/x
  3. Step 3: Cross multiply
    548,832.80x = 823,767.60 × 338,880.80
  4. Step 4: Simplify right side
    548,832.80x = 279,159,023,302.08
  5. Step 5: Solve for x
    x = 279,159,023,302.08/548,832.80
  6. Step 6: Final answer
    x = 508,641.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.