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Finding the Fourth Proportional to 548,996.94, 823,777.29 and 415,832.94

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Solution

The fourth proportional to 548,996.94, 823,777.29 and 415,832.94 is: 623,962.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,996.94 : 823,777.29 = 415,832.94 : x
  2. Step 2: Convert to fraction form
    548,996.94/823,777.29 = 415,832.94/x
  3. Step 3: Cross multiply
    548,996.94x = 823,777.29 × 415,832.94
  4. Step 4: Simplify right side
    548,996.94x = 342,553,732,405.93
  5. Step 5: Solve for x
    x = 342,553,732,405.93/548,996.94
  6. Step 6: Final answer
    x = 623,962.92

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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.