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Finding the Fourth Proportional to 311,690.14, 429,932.92 and 216,161.98

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Solution

The fourth proportional to 311,690.14, 429,932.92 and 216,161.98 is: 298,165.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,690.14 : 429,932.92 = 216,161.98 : x
  2. Step 2: Convert to fraction form
    311,690.14/429,932.92 = 216,161.98/x
  3. Step 3: Cross multiply
    311,690.14x = 429,932.92 × 216,161.98
  4. Step 4: Simplify right side
    311,690.14x = 92,935,151,254.38
  5. Step 5: Solve for x
    x = 92,935,151,254.38/311,690.14
  6. Step 6: Final answer
    x = 298,165.19

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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.