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Finding the Fourth Proportional to 265,177.94, 397,766.90 and 218,332.40

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Solution

The fourth proportional to 265,177.94, 397,766.90 and 218,332.40 is: 327,498.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,177.94 : 397,766.90 = 218,332.40 : x
  2. Step 2: Convert to fraction form
    265,177.94/397,766.90 = 218,332.40/x
  3. Step 3: Cross multiply
    265,177.94x = 397,766.90 × 218,332.40
  4. Step 4: Simplify right side
    265,177.94x = 86,845,400,474.56
  5. Step 5: Solve for x
    x = 86,845,400,474.56/265,177.94
  6. Step 6: Final answer
    x = 327,498.59

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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.