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Finding the Fourth Proportional to 486,029.40, 729,044.10 and 428,292.60

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Solution

The fourth proportional to 486,029.40, 729,044.10 and 428,292.60 is: 642,438.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,029.40 : 729,044.10 = 428,292.60 : x
  2. Step 2: Convert to fraction form
    486,029.40/729,044.10 = 428,292.60/x
  3. Step 3: Cross multiply
    486,029.40x = 729,044.10 × 428,292.60
  4. Step 4: Simplify right side
    486,029.40x = 312,244,193,103.66
  5. Step 5: Solve for x
    x = 312,244,193,103.66/486,029.40
  6. Step 6: Final answer
    x = 642,438.90

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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.