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Finding the Fourth Proportional to 576,249.60, 863,596.80 and 409,843.20

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Solution

The fourth proportional to 576,249.60, 863,596.80 and 409,843.20 is: 614,211.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,249.60 : 863,596.80 = 409,843.20 : x
  2. Step 2: Convert to fraction form
    576,249.60/863,596.80 = 409,843.20/x
  3. Step 3: Cross multiply
    576,249.60x = 863,596.80 × 409,843.20
  4. Step 4: Simplify right side
    576,249.60x = 353,939,276,021.76
  5. Step 5: Solve for x
    x = 353,939,276,021.76/576,249.60
  6. Step 6: Final answer
    x = 614,211.75

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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.