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Finding the Fourth Proportional to 617,524.74, 852,199.38 and 345,590.46

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Solution

The fourth proportional to 617,524.74, 852,199.38 and 345,590.46 is: 476,923.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,524.74 : 852,199.38 = 345,590.46 : x
  2. Step 2: Convert to fraction form
    617,524.74/852,199.38 = 345,590.46/x
  3. Step 3: Cross multiply
    617,524.74x = 852,199.38 × 345,590.46
  4. Step 4: Simplify right side
    617,524.74x = 294,511,975,745.92
  5. Step 5: Solve for x
    x = 294,511,975,745.92/617,524.74
  6. Step 6: Final answer
    x = 476,923.36

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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.