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Finding the Fourth Proportional to 702,675.90, 969,656.00 and 412,247.09

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Solution

The fourth proportional to 702,675.90, 969,656.00 and 412,247.09 is: 568,879.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,675.90 : 969,656.00 = 412,247.09 : x
  2. Step 2: Convert to fraction form
    702,675.90/969,656.00 = 412,247.09/x
  3. Step 3: Cross multiply
    702,675.90x = 969,656.00 × 412,247.09
  4. Step 4: Simplify right side
    702,675.90x = 399,737,864,663.95
  5. Step 5: Solve for x
    x = 399,737,864,663.95/702,675.90
  6. Step 6: Final answer
    x = 568,879.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.