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Finding the Fourth Proportional to 579,861.82, 869,852.22 and 200,782

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Solution

The fourth proportional to 579,861.82, 869,852.22 and 200,782 is: 301,193.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,861.82 : 869,852.22 = 200,782 : x
  2. Step 2: Convert to fraction form
    579,861.82/869,852.22 = 200,782/x
  3. Step 3: Cross multiply
    579,861.82x = 869,852.22 × 200,782
  4. Step 4: Simplify right side
    579,861.82x = 174,650,668,436.04
  5. Step 5: Solve for x
    x = 174,650,668,436.04/579,861.82
  6. Step 6: Final answer
    x = 301,193.60

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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.