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Finding the Fourth Proportional to 408,511.20, 612,110.70 and 384,891.60

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Solution

The fourth proportional to 408,511.20, 612,110.70 and 384,891.60 is: 576,719.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,511.20 : 612,110.70 = 384,891.60 : x
  2. Step 2: Convert to fraction form
    408,511.20/612,110.70 = 384,891.60/x
  3. Step 3: Cross multiply
    408,511.20x = 612,110.70 × 384,891.60
  4. Step 4: Simplify right side
    408,511.20x = 235,596,266,700.12
  5. Step 5: Solve for x
    x = 235,596,266,700.12/408,511.20
  6. Step 6: Final answer
    x = 576,719.23

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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.