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Finding the Fourth Proportional to 345,054.82, 476,065.74 and 194,122.66

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Solution

The fourth proportional to 345,054.82, 476,065.74 and 194,122.66 is: 267,827.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,054.82 : 476,065.74 = 194,122.66 : x
  2. Step 2: Convert to fraction form
    345,054.82/476,065.74 = 194,122.66/x
  3. Step 3: Cross multiply
    345,054.82x = 476,065.74 × 194,122.66
  4. Step 4: Simplify right side
    345,054.82x = 92,415,147,783.67
  5. Step 5: Solve for x
    x = 92,415,147,783.67/345,054.82
  6. Step 6: Final answer
    x = 267,827.44

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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.