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Finding the Fourth Proportional to 345,296.42, 476,475 and 192,329.48

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Solution

The fourth proportional to 345,296.42, 476,475 and 192,329.48 is: 265,395.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,296.42 : 476,475 = 192,329.48 : x
  2. Step 2: Convert to fraction form
    345,296.42/476,475 = 192,329.48/x
  3. Step 3: Cross multiply
    345,296.42x = 476,475 × 192,329.48
  4. Step 4: Simplify right side
    345,296.42x = 91,640,188,983
  5. Step 5: Solve for x
    x = 91,640,188,983/345,296.42
  6. Step 6: Final answer
    x = 265,395.71

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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.