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Finding the Fourth Proportional to 305,276.80, 457,958.40 and 94,892.80

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Solution

The fourth proportional to 305,276.80, 457,958.40 and 94,892.80 is: 142,352.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,276.80 : 457,958.40 = 94,892.80 : x
  2. Step 2: Convert to fraction form
    305,276.80/457,958.40 = 94,892.80/x
  3. Step 3: Cross multiply
    305,276.80x = 457,958.40 × 94,892.80
  4. Step 4: Simplify right side
    305,276.80x = 43,456,954,859.52
  5. Step 5: Solve for x
    x = 43,456,954,859.52/305,276.80
  6. Step 6: Final answer
    x = 142,352.63

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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.