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Finding the Fourth Proportional to 647,535.80, 970,883.22 and 310,568.60

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Solution

The fourth proportional to 647,535.80, 970,883.22 and 310,568.60 is: 465,651.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,535.80 : 970,883.22 = 310,568.60 : x
  2. Step 2: Convert to fraction form
    647,535.80/970,883.22 = 310,568.60/x
  3. Step 3: Cross multiply
    647,535.80x = 970,883.22 × 310,568.60
  4. Step 4: Simplify right side
    647,535.80x = 301,525,842,398.89
  5. Step 5: Solve for x
    x = 301,525,842,398.89/647,535.80
  6. Step 6: Final answer
    x = 465,651.23

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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.