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Finding the Fourth Proportional to 411,208.80, 616,352.40 and 174,511.20

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Solution

The fourth proportional to 411,208.80, 616,352.40 and 174,511.20 is: 261,571.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,208.80 : 616,352.40 = 174,511.20 : x
  2. Step 2: Convert to fraction form
    411,208.80/616,352.40 = 174,511.20/x
  3. Step 3: Cross multiply
    411,208.80x = 616,352.40 × 174,511.20
  4. Step 4: Simplify right side
    411,208.80x = 107,560,396,946.88
  5. Step 5: Solve for x
    x = 107,560,396,946.88/411,208.80
  6. Step 6: Final answer
    x = 261,571.24

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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.