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Finding the Fourth Proportional to 304,896.19, 420,903 and 214,329.79

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Solution

The fourth proportional to 304,896.19, 420,903 and 214,329.79 is: 295,877.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,896.19 : 420,903 = 214,329.79 : x
  2. Step 2: Convert to fraction form
    304,896.19/420,903 = 214,329.79/x
  3. Step 3: Cross multiply
    304,896.19x = 420,903 × 214,329.79
  4. Step 4: Simplify right side
    304,896.19x = 90,212,050,548.11
  5. Step 5: Solve for x
    x = 90,212,050,548.11/304,896.19
  6. Step 6: Final answer
    x = 295,877.92

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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.