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Finding the Fourth Proportional to 414,340.69, 621,509.26 and 114,820.41

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Solution

The fourth proportional to 414,340.69, 621,509.26 and 114,820.41 is: 172,230.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,340.69 : 621,509.26 = 114,820.41 : x
  2. Step 2: Convert to fraction form
    414,340.69/621,509.26 = 114,820.41/x
  3. Step 3: Cross multiply
    414,340.69x = 621,509.26 × 114,820.41
  4. Step 4: Simplify right side
    414,340.69x = 71,361,948,052.00
  5. Step 5: Solve for x
    x = 71,361,948,052.00/414,340.69
  6. Step 6: Final answer
    x = 172,230.12

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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.