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Finding the Fourth Proportional to 414,467.84, 621,701.72 and 114,948.41

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Solution

The fourth proportional to 414,467.84, 621,701.72 and 114,948.41 is: 172,422.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,467.84 : 621,701.72 = 114,948.41 : x
  2. Step 2: Convert to fraction form
    414,467.84/621,701.72 = 114,948.41/x
  3. Step 3: Cross multiply
    414,467.84x = 621,701.72 × 114,948.41
  4. Step 4: Simplify right side
    414,467.84x = 71,463,624,668.67
  5. Step 5: Solve for x
    x = 71,463,624,668.67/414,467.84
  6. Step 6: Final answer
    x = 172,422.61

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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.