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Finding the Fourth Proportional to 345,616.41, 476,978.31 and 192,704.16

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Solution

The fourth proportional to 345,616.41, 476,978.31 and 192,704.16 is: 265,947.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,616.41 : 476,978.31 = 192,704.16 : x
  2. Step 2: Convert to fraction form
    345,616.41/476,978.31 = 192,704.16/x
  3. Step 3: Cross multiply
    345,616.41x = 476,978.31 × 192,704.16
  4. Step 4: Simplify right side
    345,616.41x = 91,915,704,566.77
  5. Step 5: Solve for x
    x = 91,915,704,566.77/345,616.41
  6. Step 6: Final answer
    x = 265,947.17

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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.