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Finding the Fourth Proportional to 538,469.16, 743,092.34 and 296,760.50

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Solution

The fourth proportional to 538,469.16, 743,092.34 and 296,760.50 is: 409,532.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,469.16 : 743,092.34 = 296,760.50 : x
  2. Step 2: Convert to fraction form
    538,469.16/743,092.34 = 296,760.50/x
  3. Step 3: Cross multiply
    538,469.16x = 743,092.34 × 296,760.50
  4. Step 4: Simplify right side
    538,469.16x = 220,520,454,364.57
  5. Step 5: Solve for x
    x = 220,520,454,364.57/538,469.16
  6. Step 6: Final answer
    x = 409,532.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.