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Finding the Fourth Proportional to 525,568.26, 725,284.90 and 299,213.76

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Solution

The fourth proportional to 525,568.26, 725,284.90 and 299,213.76 is: 412,915.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,568.26 : 725,284.90 = 299,213.76 : x
  2. Step 2: Convert to fraction form
    525,568.26/725,284.90 = 299,213.76/x
  3. Step 3: Cross multiply
    525,568.26x = 725,284.90 × 299,213.76
  4. Step 4: Simplify right side
    525,568.26x = 217,015,222,000.22
  5. Step 5: Solve for x
    x = 217,015,222,000.22/525,568.26
  6. Step 6: Final answer
    x = 412,915.39

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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.