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Finding the Fourth Proportional to 410,846.30, 576,843.70 and 410,846.30

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Solution

The fourth proportional to 410,846.30, 576,843.70 and 410,846.30 is: 576,843.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,846.30 : 576,843.70 = 410,846.30 : x
  2. Step 2: Convert to fraction form
    410,846.30/576,843.70 = 410,846.30/x
  3. Step 3: Cross multiply
    410,846.30x = 576,843.70 × 410,846.30
  4. Step 4: Simplify right side
    410,846.30x = 236,994,099,823.31
  5. Step 5: Solve for x
    x = 236,994,099,823.31/410,846.30
  6. Step 6: Final answer
    x = 576,843.70

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.