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Finding the Fourth Proportional to 414,939.12, 622,474.32 and 148,693.76

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Solution

The fourth proportional to 414,939.12, 622,474.32 and 148,693.76 is: 223,064.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,939.12 : 622,474.32 = 148,693.76 : x
  2. Step 2: Convert to fraction form
    414,939.12/622,474.32 = 148,693.76/x
  3. Step 3: Cross multiply
    414,939.12x = 622,474.32 × 148,693.76
  4. Step 4: Simplify right side
    414,939.12x = 92,558,047,144.24
  5. Step 5: Solve for x
    x = 92,558,047,144.24/414,939.12
  6. Step 6: Final answer
    x = 223,064.16

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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.