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Finding the Fourth Proportional to 548,616, 822,612.96 and 228,398.40

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Solution

The fourth proportional to 548,616, 822,612.96 and 228,398.40 is: 342,468.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,616 : 822,612.96 = 228,398.40 : x
  2. Step 2: Convert to fraction form
    548,616/822,612.96 = 228,398.40/x
  3. Step 3: Cross multiply
    548,616x = 822,612.96 × 228,398.40
  4. Step 4: Simplify right side
    548,616x = 187,883,483,883.26
  5. Step 5: Solve for x
    x = 187,883,483,883.26/548,616
  6. Step 6: Final answer
    x = 342,468.11

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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.