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Finding the Fourth Proportional to 275,217.80, 412,437.90 and 169,723.40

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Solution

The fourth proportional to 275,217.80, 412,437.90 and 169,723.40 is: 254,345.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,217.80 : 412,437.90 = 169,723.40 : x
  2. Step 2: Convert to fraction form
    275,217.80/412,437.90 = 169,723.40/x
  3. Step 3: Cross multiply
    275,217.80x = 412,437.90 × 169,723.40
  4. Step 4: Simplify right side
    275,217.80x = 70,000,362,676.86
  5. Step 5: Solve for x
    x = 70,000,362,676.86/275,217.80
  6. Step 6: Final answer
    x = 254,345.33

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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.