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Finding the Fourth Proportional to 548,245.56, 822,359.70 and 174,263.16

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Solution

The fourth proportional to 548,245.56, 822,359.70 and 174,263.16 is: 261,391.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,245.56 : 822,359.70 = 174,263.16 : x
  2. Step 2: Convert to fraction form
    548,245.56/822,359.70 = 174,263.16/x
  3. Step 3: Cross multiply
    548,245.56x = 822,359.70 × 174,263.16
  4. Step 4: Simplify right side
    548,245.56x = 143,306,999,978.65
  5. Step 5: Solve for x
    x = 143,306,999,978.65/548,245.56
  6. Step 6: Final answer
    x = 261,391.99

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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.