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Finding the Fourth Proportional to 548,145.54, 822,312.24 and 188,299.29

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Solution

The fourth proportional to 548,145.54, 822,312.24 and 188,299.29 is: 282,481.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,145.54 : 822,312.24 = 188,299.29 : x
  2. Step 2: Convert to fraction form
    548,145.54/822,312.24 = 188,299.29/x
  3. Step 3: Cross multiply
    548,145.54x = 822,312.24 × 188,299.29
  4. Step 4: Simplify right side
    548,145.54x = 154,840,810,950.31
  5. Step 5: Solve for x
    x = 154,840,810,950.31/548,145.54
  6. Step 6: Final answer
    x = 282,481.20

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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.