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Finding the Fourth Proportional to 414,155.50, 621,234.12 and 114,636.94

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Solution

The fourth proportional to 414,155.50, 621,234.12 and 114,636.94 is: 171,955.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,155.50 : 621,234.12 = 114,636.94 : x
  2. Step 2: Convert to fraction form
    414,155.50/621,234.12 = 114,636.94/x
  3. Step 3: Cross multiply
    414,155.50x = 621,234.12 × 114,636.94
  4. Step 4: Simplify right side
    414,155.50x = 71,216,380,739.02
  5. Step 5: Solve for x
    x = 71,216,380,739.02/414,155.50
  6. Step 6: Final answer
    x = 171,955.66

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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.