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Finding the Fourth Proportional to 512,109.44, 707,043.96 and 458,302

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Solution

The fourth proportional to 512,109.44, 707,043.96 and 458,302 is: 632,754.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,109.44 : 707,043.96 = 458,302 : x
  2. Step 2: Convert to fraction form
    512,109.44/707,043.96 = 458,302/x
  3. Step 3: Cross multiply
    512,109.44x = 707,043.96 × 458,302
  4. Step 4: Simplify right side
    512,109.44x = 324,039,660,955.92
  5. Step 5: Solve for x
    x = 324,039,660,955.92/512,109.44
  6. Step 6: Final answer
    x = 632,754.71

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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.