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Finding the Fourth Proportional to 647,434.40, 970,114.80 and 410,352.80

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Solution

The fourth proportional to 647,434.40, 970,114.80 and 410,352.80 is: 614,872.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,434.40 : 970,114.80 = 410,352.80 : x
  2. Step 2: Convert to fraction form
    647,434.40/970,114.80 = 410,352.80/x
  3. Step 3: Cross multiply
    647,434.40x = 970,114.80 × 410,352.80
  4. Step 4: Simplify right side
    647,434.40x = 398,089,324,501.44
  5. Step 5: Solve for x
    x = 398,089,324,501.44/647,434.40
  6. Step 6: Final answer
    x = 614,872.06

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1.5x scale

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.