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Finding the Fourth Proportional to 296,795.52, 410,120.97 and 216,082.95

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Solution

The fourth proportional to 296,795.52, 410,120.97 and 216,082.95 is: 298,589.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,795.52 : 410,120.97 = 216,082.95 : x
  2. Step 2: Convert to fraction form
    296,795.52/410,120.97 = 216,082.95/x
  3. Step 3: Cross multiply
    296,795.52x = 410,120.97 × 216,082.95
  4. Step 4: Simplify right side
    296,795.52x = 88,620,149,054.46
  5. Step 5: Solve for x
    x = 88,620,149,054.46/296,795.52
  6. Step 6: Final answer
    x = 298,589.91

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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.