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Finding the Fourth Proportional to 345,894.25, 477,332.82 and 192,932.32

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Solution

The fourth proportional to 345,894.25, 477,332.82 and 192,932.32 is: 266,245.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,894.25 : 477,332.82 = 192,932.32 : x
  2. Step 2: Convert to fraction form
    345,894.25/477,332.82 = 192,932.32/x
  3. Step 3: Cross multiply
    345,894.25x = 477,332.82 × 192,932.32
  4. Step 4: Simplify right side
    345,894.25x = 92,092,928,374.74
  5. Step 5: Solve for x
    x = 92,092,928,374.74/345,894.25
  6. Step 6: Final answer
    x = 266,245.91

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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.