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Finding the Fourth Proportional to 548,442.93, 822,682.62 and 188,610.24

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Solution

The fourth proportional to 548,442.93, 822,682.62 and 188,610.24 is: 282,921.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,442.93 : 822,682.62 = 188,610.24 : x
  2. Step 2: Convert to fraction form
    548,442.93/822,682.62 = 188,610.24/x
  3. Step 3: Cross multiply
    548,442.93x = 822,682.62 × 188,610.24
  4. Step 4: Simplify right side
    548,442.93x = 155,166,366,402.03
  5. Step 5: Solve for x
    x = 155,166,366,402.03/548,442.93
  6. Step 6: Final answer
    x = 282,921.63

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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.