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Finding the Fourth Proportional to 414,188.94, 621,210.51 and 110,586.87

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Solution

The fourth proportional to 414,188.94, 621,210.51 and 110,586.87 is: 165,860.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,188.94 : 621,210.51 = 110,586.87 : x
  2. Step 2: Convert to fraction form
    414,188.94/621,210.51 = 110,586.87/x
  3. Step 3: Cross multiply
    414,188.94x = 621,210.51 × 110,586.87
  4. Step 4: Simplify right side
    414,188.94x = 68,697,725,912.00
  5. Step 5: Solve for x
    x = 68,697,725,912.00/414,188.94
  6. Step 6: Final answer
    x = 165,860.84

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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.