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Finding the Fourth Proportional to 275,114.52, 412,062.12 and 211,465.98

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Solution

The fourth proportional to 275,114.52, 412,062.12 and 211,465.98 is: 316,730.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,114.52 : 412,062.12 = 211,465.98 : x
  2. Step 2: Convert to fraction form
    275,114.52/412,062.12 = 211,465.98/x
  3. Step 3: Cross multiply
    275,114.52x = 412,062.12 × 211,465.98
  4. Step 4: Simplify right side
    275,114.52x = 87,137,120,026.68
  5. Step 5: Solve for x
    x = 87,137,120,026.68/275,114.52
  6. Step 6: Final answer
    x = 316,730.36

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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.