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Finding the Fourth Proportional to 275,809.95, 414,337.74 and 163,563.80

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Solution

The fourth proportional to 275,809.95, 414,337.74 and 163,563.80 is: 245,715.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,809.95 : 414,337.74 = 163,563.80 : x
  2. Step 2: Convert to fraction form
    275,809.95/414,337.74 = 163,563.80/x
  3. Step 3: Cross multiply
    275,809.95x = 414,337.74 × 163,563.80
  4. Step 4: Simplify right side
    275,809.95x = 67,770,656,887.02
  5. Step 5: Solve for x
    x = 67,770,656,887.02/275,809.95
  6. Step 6: Final answer
    x = 245,715.05

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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.