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Finding the Fourth Proportional to 411,328.20, 617,222.70 and 174,630.60

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Solution

The fourth proportional to 411,328.20, 617,222.70 and 174,630.60 is: 262,043.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,328.20 : 617,222.70 = 174,630.60 : x
  2. Step 2: Convert to fraction form
    411,328.20/617,222.70 = 174,630.60/x
  3. Step 3: Cross multiply
    411,328.20x = 617,222.70 × 174,630.60
  4. Step 4: Simplify right side
    411,328.20x = 107,785,970,434.62
  5. Step 5: Solve for x
    x = 107,785,970,434.62/411,328.20
  6. Step 6: Final answer
    x = 262,043.72

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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.