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Finding the Fourth Proportional to 414,169.29, 621,100.11 and 144,228.11

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Solution

The fourth proportional to 414,169.29, 621,100.11 and 144,228.11 is: 216,288.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,169.29 : 621,100.11 = 144,228.11 : x
  2. Step 2: Convert to fraction form
    414,169.29/621,100.11 = 144,228.11/x
  3. Step 3: Cross multiply
    414,169.29x = 621,100.11 × 144,228.11
  4. Step 4: Simplify right side
    414,169.29x = 89,580,094,986.09
  5. Step 5: Solve for x
    x = 89,580,094,986.09/414,169.29
  6. Step 6: Final answer
    x = 216,288.60

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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.