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Finding the Fourth Proportional to 447,175.98, 617,046.78 and 302,296.98

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Solution

The fourth proportional to 447,175.98, 617,046.78 and 302,296.98 is: 417,131.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,175.98 : 617,046.78 = 302,296.98 : x
  2. Step 2: Convert to fraction form
    447,175.98/617,046.78 = 302,296.98/x
  3. Step 3: Cross multiply
    447,175.98x = 617,046.78 × 302,296.98
  4. Step 4: Simplify right side
    447,175.98x = 186,531,378,112.72
  5. Step 5: Solve for x
    x = 186,531,378,112.72/447,175.98
  6. Step 6: Final answer
    x = 417,131.93

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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.