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Finding the Fourth Proportional to 641,029.90, 960,378.45 and 522,057.10

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Solution

The fourth proportional to 641,029.90, 960,378.45 and 522,057.10 is: 782,135.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,029.90 : 960,378.45 = 522,057.10 : x
  2. Step 2: Convert to fraction form
    641,029.90/960,378.45 = 522,057.10/x
  3. Step 3: Cross multiply
    641,029.90x = 960,378.45 × 522,057.10
  4. Step 4: Simplify right side
    641,029.90x = 501,372,388,509.50
  5. Step 5: Solve for x
    x = 501,372,388,509.50/641,029.90
  6. Step 6: Final answer
    x = 782,135.73

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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.