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Finding the Fourth Proportional to 548,044.63, 822,048.42 and 193,049.38

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Solution

The fourth proportional to 548,044.63, 822,048.42 and 193,049.38 is: 289,567.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,044.63 : 822,048.42 = 193,049.38 : x
  2. Step 2: Convert to fraction form
    548,044.63/822,048.42 = 193,049.38/x
  3. Step 3: Cross multiply
    548,044.63x = 822,048.42 × 193,049.38
  4. Step 4: Simplify right side
    548,044.63x = 158,695,937,810.98
  5. Step 5: Solve for x
    x = 158,695,937,810.98/548,044.63
  6. Step 6: Final answer
    x = 289,567.54

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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.