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Finding the Fourth Proportional to 543,196.40, 762,049.60 and 543,196.40

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Solution

The fourth proportional to 543,196.40, 762,049.60 and 543,196.40 is: 762,049.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,196.40 : 762,049.60 = 543,196.40 : x
  2. Step 2: Convert to fraction form
    543,196.40/762,049.60 = 543,196.40/x
  3. Step 3: Cross multiply
    543,196.40x = 762,049.60 × 543,196.40
  4. Step 4: Simplify right side
    543,196.40x = 413,942,599,341.44
  5. Step 5: Solve for x
    x = 413,942,599,341.44/543,196.40
  6. Step 6: Final answer
    x = 762,049.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.