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Finding the Fourth Proportional to 487,584.80, 729,951.60 and 347,616.80

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Solution

The fourth proportional to 487,584.80, 729,951.60 and 347,616.80 is: 520,408.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,584.80 : 729,951.60 = 347,616.80 : x
  2. Step 2: Convert to fraction form
    487,584.80/729,951.60 = 347,616.80/x
  3. Step 3: Cross multiply
    487,584.80x = 729,951.60 × 347,616.80
  4. Step 4: Simplify right side
    487,584.80x = 253,743,439,346.88
  5. Step 5: Solve for x
    x = 253,743,439,346.88/487,584.80
  6. Step 6: Final answer
    x = 520,408.84

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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.