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Finding the Fourth Proportional to 414,986.04, 622,635.90 and 162,447

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Solution

The fourth proportional to 414,986.04, 622,635.90 and 162,447 is: 243,731.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,986.04 : 622,635.90 = 162,447 : x
  2. Step 2: Convert to fraction form
    414,986.04/622,635.90 = 162,447/x
  3. Step 3: Cross multiply
    414,986.04x = 622,635.90 × 162,447
  4. Step 4: Simplify right side
    414,986.04x = 101,145,334,047.30
  5. Step 5: Solve for x
    x = 101,145,334,047.30/414,986.04
  6. Step 6: Final answer
    x = 243,731.90

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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.