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Finding the Fourth Proportional to 415,297.14, 573,115.42 and 245,529.78

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Solution

The fourth proportional to 415,297.14, 573,115.42 and 245,529.78 is: 338,834.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,297.14 : 573,115.42 = 245,529.78 : x
  2. Step 2: Convert to fraction form
    415,297.14/573,115.42 = 245,529.78/x
  3. Step 3: Cross multiply
    415,297.14x = 573,115.42 × 245,529.78
  4. Step 4: Simplify right side
    415,297.14x = 140,716,902,987.21
  5. Step 5: Solve for x
    x = 140,716,902,987.21/415,297.14
  6. Step 6: Final answer
    x = 338,834.27

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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.