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Finding the Fourth Proportional to 548,486.16, 823,024.50 and 546,816.78

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Solution

The fourth proportional to 548,486.16, 823,024.50 and 546,816.78 is: 820,519.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,486.16 : 823,024.50 = 546,816.78 : x
  2. Step 2: Convert to fraction form
    548,486.16/823,024.50 = 546,816.78/x
  3. Step 3: Cross multiply
    548,486.16x = 823,024.50 × 546,816.78
  4. Step 4: Simplify right side
    548,486.16x = 450,043,606,951.11
  5. Step 5: Solve for x
    x = 450,043,606,951.11/548,486.16
  6. Step 6: Final answer
    x = 820,519.53

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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.