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Finding the Fourth Proportional to 414,340.86, 621,542.60 and 114,817.98

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Solution

The fourth proportional to 414,340.86, 621,542.60 and 114,817.98 is: 172,235.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,340.86 : 621,542.60 = 114,817.98 : x
  2. Step 2: Convert to fraction form
    414,340.86/621,542.60 = 114,817.98/x
  3. Step 3: Cross multiply
    414,340.86x = 621,542.60 × 114,817.98
  4. Step 4: Simplify right side
    414,340.86x = 71,364,265,815.95
  5. Step 5: Solve for x
    x = 71,364,265,815.95/414,340.86
  6. Step 6: Final answer
    x = 172,235.65

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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.