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Finding the Fourth Proportional to 647,783.36, 971,675.06 and 347,851.36

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Solution

The fourth proportional to 647,783.36, 971,675.06 and 347,851.36 is: 521,777.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,783.36 : 971,675.06 = 347,851.36 : x
  2. Step 2: Convert to fraction form
    647,783.36/971,675.06 = 347,851.36/x
  3. Step 3: Cross multiply
    647,783.36x = 971,675.06 × 347,851.36
  4. Step 4: Simplify right side
    647,783.36x = 337,998,491,099.08
  5. Step 5: Solve for x
    x = 337,998,491,099.08/647,783.36
  6. Step 6: Final answer
    x = 521,777.05

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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.