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Finding the Fourth Proportional to 343,292, 473,772.12 and 192,418.16

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Solution

The fourth proportional to 343,292, 473,772.12 and 192,418.16 is: 265,553.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,292 : 473,772.12 = 192,418.16 : x
  2. Step 2: Convert to fraction form
    343,292/473,772.12 = 192,418.16/x
  3. Step 3: Cross multiply
    343,292x = 473,772.12 × 192,418.16
  4. Step 4: Simplify right side
    343,292x = 91,162,359,589.70
  5. Step 5: Solve for x
    x = 91,162,359,589.70/343,292
  6. Step 6: Final answer
    x = 265,553.41

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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.