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Finding the Fourth Proportional to 415,527.84, 622,842.48 and 165,935.52

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Solution

The fourth proportional to 415,527.84, 622,842.48 and 165,935.52 is: 248,723.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,527.84 : 622,842.48 = 165,935.52 : x
  2. Step 2: Convert to fraction form
    415,527.84/622,842.48 = 165,935.52/x
  3. Step 3: Cross multiply
    415,527.84x = 622,842.48 × 165,935.52
  4. Step 4: Simplify right side
    415,527.84x = 103,351,690,796.89
  5. Step 5: Solve for x
    x = 103,351,690,796.89/415,527.84
  6. Step 6: Final answer
    x = 248,723.87

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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.