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Finding the Fourth Proportional to 415,873.40, 624,029.88 and 295,074.62

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Solution

The fourth proportional to 415,873.40, 624,029.88 and 295,074.62 is: 442,767.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,873.40 : 624,029.88 = 295,074.62 : x
  2. Step 2: Convert to fraction form
    415,873.40/624,029.88 = 295,074.62/x
  3. Step 3: Cross multiply
    415,873.40x = 624,029.88 × 295,074.62
  4. Step 4: Simplify right side
    415,873.40x = 184,135,379,709.65
  5. Step 5: Solve for x
    x = 184,135,379,709.65/415,873.40
  6. Step 6: Final answer
    x = 442,767.87

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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.