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Finding the Fourth Proportional to 413,524.80, 580,115.70 and 413,524.80

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Solution

The fourth proportional to 413,524.80, 580,115.70 and 413,524.80 is: 580,115.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,524.80 : 580,115.70 = 413,524.80 : x
  2. Step 2: Convert to fraction form
    413,524.80/580,115.70 = 413,524.80/x
  3. Step 3: Cross multiply
    413,524.80x = 580,115.70 × 413,524.80
  4. Step 4: Simplify right side
    413,524.80x = 239,892,228,819.36
  5. Step 5: Solve for x
    x = 239,892,228,819.36/413,524.80
  6. Step 6: Final answer
    x = 580,115.70

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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.