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Finding the Fourth Proportional to 516,059.02, 774,137.40 and 200,540.26

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Solution

The fourth proportional to 516,059.02, 774,137.40 and 200,540.26 is: 300,829.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,059.02 : 774,137.40 = 200,540.26 : x
  2. Step 2: Convert to fraction form
    516,059.02/774,137.40 = 200,540.26/x
  3. Step 3: Cross multiply
    516,059.02x = 774,137.40 × 200,540.26
  4. Step 4: Simplify right side
    516,059.02x = 155,245,715,471.72
  5. Step 5: Solve for x
    x = 155,245,715,471.72/516,059.02
  6. Step 6: Final answer
    x = 300,829.38

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1.5x scale

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.