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Finding the Fourth Proportional to 413,604.78, 570,629.24 and 270,448.62

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Solution

The fourth proportional to 413,604.78, 570,629.24 and 270,448.62 is: 373,124.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,604.78 : 570,629.24 = 270,448.62 : x
  2. Step 2: Convert to fraction form
    413,604.78/570,629.24 = 270,448.62/x
  3. Step 3: Cross multiply
    413,604.78x = 570,629.24 × 270,448.62
  4. Step 4: Simplify right side
    413,604.78x = 154,325,890,489.65
  5. Step 5: Solve for x
    x = 154,325,890,489.65/413,604.78
  6. Step 6: Final answer
    x = 373,124.05

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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.