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Finding the Fourth Proportional to 408,532.20, 612,069.30 and 197,705.40

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Solution

The fourth proportional to 408,532.20, 612,069.30 and 197,705.40 is: 296,205.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,532.20 : 612,069.30 = 197,705.40 : x
  2. Step 2: Convert to fraction form
    408,532.20/612,069.30 = 197,705.40/x
  3. Step 3: Cross multiply
    408,532.20x = 612,069.30 × 197,705.40
  4. Step 4: Simplify right side
    408,532.20x = 121,009,405,784.22
  5. Step 5: Solve for x
    x = 121,009,405,784.22/408,532.20
  6. Step 6: Final answer
    x = 296,205.31

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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.