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Finding the Fourth Proportional to 512,858.76, 707,743.35 and 283,409.67

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Solution

The fourth proportional to 512,858.76, 707,743.35 and 283,409.67 is: 391,104.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,858.76 : 707,743.35 = 283,409.67 : x
  2. Step 2: Convert to fraction form
    512,858.76/707,743.35 = 283,409.67/x
  3. Step 3: Cross multiply
    512,858.76x = 707,743.35 × 283,409.67
  4. Step 4: Simplify right side
    512,858.76x = 200,581,309,268.20
  5. Step 5: Solve for x
    x = 200,581,309,268.20/512,858.76
  6. Step 6: Final answer
    x = 391,104.38

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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.