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Finding the Fourth Proportional to 304,838.40, 457,257.60 and 94,540.80

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Solution

The fourth proportional to 304,838.40, 457,257.60 and 94,540.80 is: 141,811.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,838.40 : 457,257.60 = 94,540.80 : x
  2. Step 2: Convert to fraction form
    304,838.40/457,257.60 = 94,540.80/x
  3. Step 3: Cross multiply
    304,838.40x = 457,257.60 × 94,540.80
  4. Step 4: Simplify right side
    304,838.40x = 43,229,499,310.08
  5. Step 5: Solve for x
    x = 43,229,499,310.08/304,838.40
  6. Step 6: Final answer
    x = 141,811.20

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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.