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Finding the Fourth Proportional to 377,633.11, 521,072.72 and 216,458.50

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Solution

The fourth proportional to 377,633.11, 521,072.72 and 216,458.50 is: 298,677.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,633.11 : 521,072.72 = 216,458.50 : x
  2. Step 2: Convert to fraction form
    377,633.11/521,072.72 = 216,458.50/x
  3. Step 3: Cross multiply
    377,633.11x = 521,072.72 × 216,458.50
  4. Step 4: Simplify right side
    377,633.11x = 112,790,618,279.83
  5. Step 5: Solve for x
    x = 112,790,618,279.83/377,633.11
  6. Step 6: Final answer
    x = 298,677.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.