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Finding the Fourth Proportional to 414,141.80, 621,212.70 and 264,842.60

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Solution

The fourth proportional to 414,141.80, 621,212.70 and 264,842.60 is: 397,263.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,141.80 : 621,212.70 = 264,842.60 : x
  2. Step 2: Convert to fraction form
    414,141.80/621,212.70 = 264,842.60/x
  3. Step 3: Cross multiply
    414,141.80x = 621,212.70 × 264,842.60
  4. Step 4: Simplify right side
    414,141.80x = 164,523,586,621.02
  5. Step 5: Solve for x
    x = 164,523,586,621.02/414,141.80
  6. Step 6: Final answer
    x = 397,263.90

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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.