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Finding the Fourth Proportional to 548,830.80, 823,764.60 and 338,878.80

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Solution

The fourth proportional to 548,830.80, 823,764.60 and 338,878.80 is: 508,638.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,830.80 : 823,764.60 = 338,878.80 : x
  2. Step 2: Convert to fraction form
    548,830.80/823,764.60 = 338,878.80/x
  3. Step 3: Cross multiply
    548,830.80x = 823,764.60 × 338,878.80
  4. Step 4: Simplify right side
    548,830.80x = 279,156,359,130.48
  5. Step 5: Solve for x
    x = 279,156,359,130.48/548,830.80
  6. Step 6: Final answer
    x = 508,638.29

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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.