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Finding the Fourth Proportional to 489,538.40, 733,918.80 and 267,922.40

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Solution

The fourth proportional to 489,538.40, 733,918.80 and 267,922.40 is: 401,670.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,538.40 : 733,918.80 = 267,922.40 : x
  2. Step 2: Convert to fraction form
    489,538.40/733,918.80 = 267,922.40/x
  3. Step 3: Cross multiply
    489,538.40x = 733,918.80 × 267,922.40
  4. Step 4: Simplify right side
    489,538.40x = 196,633,286,301.12
  5. Step 5: Solve for x
    x = 196,633,286,301.12/489,538.40
  6. Step 6: Final answer
    x = 401,670.81

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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.