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Finding the Fourth Proportional to 427,615.66, 641,410.26 and 203,137.66

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Solution

The fourth proportional to 427,615.66, 641,410.26 and 203,137.66 is: 304,700.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,615.66 : 641,410.26 = 203,137.66 : x
  2. Step 2: Convert to fraction form
    427,615.66/641,410.26 = 203,137.66/x
  3. Step 3: Cross multiply
    427,615.66x = 641,410.26 × 203,137.66
  4. Step 4: Simplify right side
    427,615.66x = 130,294,579,316.39
  5. Step 5: Solve for x
    x = 130,294,579,316.39/427,615.66
  6. Step 6: Final answer
    x = 304,700.21

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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.