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Finding the Fourth Proportional to 314,713.80, 472,992.30 and 274,163.40

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Solution

The fourth proportional to 314,713.80, 472,992.30 and 274,163.40 is: 412,047.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,713.80 : 472,992.30 = 274,163.40 : x
  2. Step 2: Convert to fraction form
    314,713.80/472,992.30 = 274,163.40/x
  3. Step 3: Cross multiply
    314,713.80x = 472,992.30 × 274,163.40
  4. Step 4: Simplify right side
    314,713.80x = 129,677,177,141.82
  5. Step 5: Solve for x
    x = 129,677,177,141.82/314,713.80
  6. Step 6: Final answer
    x = 412,047.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.