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Finding the Fourth Proportional to 276,043.20, 414,064.80 and 241,828.80

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Solution

The fourth proportional to 276,043.20, 414,064.80 and 241,828.80 is: 362,743.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,043.20 : 414,064.80 = 241,828.80 : x
  2. Step 2: Convert to fraction form
    276,043.20/414,064.80 = 241,828.80/x
  3. Step 3: Cross multiply
    276,043.20x = 414,064.80 × 241,828.80
  4. Step 4: Simplify right side
    276,043.20x = 100,132,793,706.24
  5. Step 5: Solve for x
    x = 100,132,793,706.24/276,043.20
  6. Step 6: Final answer
    x = 362,743.20

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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.