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Finding the Fourth Proportional to 647,492.40, 970,201.80 and 410,410.80

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Solution

The fourth proportional to 647,492.40, 970,201.80 and 410,410.80 is: 614,959.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,492.40 : 970,201.80 = 410,410.80 : x
  2. Step 2: Convert to fraction form
    647,492.40/970,201.80 = 410,410.80/x
  3. Step 3: Cross multiply
    647,492.40x = 970,201.80 × 410,410.80
  4. Step 4: Simplify right side
    647,492.40x = 398,181,296,899.44
  5. Step 5: Solve for x
    x = 398,181,296,899.44/647,492.40
  6. Step 6: Final answer
    x = 614,959.03

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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.