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Finding the Fourth Proportional to 467,104.20, 700,656.30 and 408,055.20

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Solution

The fourth proportional to 467,104.20, 700,656.30 and 408,055.20 is: 612,082.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,104.20 : 700,656.30 = 408,055.20 : x
  2. Step 2: Convert to fraction form
    467,104.20/700,656.30 = 408,055.20/x
  3. Step 3: Cross multiply
    467,104.20x = 700,656.30 × 408,055.20
  4. Step 4: Simplify right side
    467,104.20x = 285,906,446,627.76
  5. Step 5: Solve for x
    x = 285,906,446,627.76/467,104.20
  6. Step 6: Final answer
    x = 612,082.80

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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.