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Finding the Fourth Proportional to 647,629.44, 971,525.54 and 347,697.76

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Solution

The fourth proportional to 647,629.44, 971,525.54 and 347,697.76 is: 521,590.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,629.44 : 971,525.54 = 347,697.76 : x
  2. Step 2: Convert to fraction form
    647,629.44/971,525.54 = 347,697.76/x
  3. Step 3: Cross multiply
    647,629.44x = 971,525.54 × 347,697.76
  4. Step 4: Simplify right side
    647,629.44x = 337,797,254,040.79
  5. Step 5: Solve for x
    x = 337,797,254,040.79/647,629.44
  6. Step 6: Final answer
    x = 521,590.33

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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.