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Finding the Fourth Proportional to 275,807.94, 414,334.72 and 163,561.79

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Solution

The fourth proportional to 275,807.94, 414,334.72 and 163,561.79 is: 245,712.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,807.94 : 414,334.72 = 163,561.79 : x
  2. Step 2: Convert to fraction form
    275,807.94/414,334.72 = 163,561.79/x
  3. Step 3: Cross multiply
    275,807.94x = 414,334.72 × 163,561.79
  4. Step 4: Simplify right side
    275,807.94x = 67,769,326,418.45
  5. Step 5: Solve for x
    x = 67,769,326,418.45/275,807.94
  6. Step 6: Final answer
    x = 245,712.02

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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.