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Finding the Fourth Proportional to 410,827.20, 616,240.80 and 244,939.20

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Solution

The fourth proportional to 410,827.20, 616,240.80 and 244,939.20 is: 367,408.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,827.20 : 616,240.80 = 244,939.20 : x
  2. Step 2: Convert to fraction form
    410,827.20/616,240.80 = 244,939.20/x
  3. Step 3: Cross multiply
    410,827.20x = 616,240.80 × 244,939.20
  4. Step 4: Simplify right side
    410,827.20x = 150,941,528,559.36
  5. Step 5: Solve for x
    x = 150,941,528,559.36/410,827.20
  6. Step 6: Final answer
    x = 367,408.80

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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.