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Finding the Fourth Proportional to 304,464.96, 420,021.46 and 197,069.50

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Solution

The fourth proportional to 304,464.96, 420,021.46 and 197,069.50 is: 271,865.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,464.96 : 420,021.46 = 197,069.50 : x
  2. Step 2: Convert to fraction form
    304,464.96/420,021.46 = 197,069.50/x
  3. Step 3: Cross multiply
    304,464.96x = 420,021.46 × 197,069.50
  4. Step 4: Simplify right side
    304,464.96x = 82,773,419,111.47
  5. Step 5: Solve for x
    x = 82,773,419,111.47/304,464.96
  6. Step 6: Final answer
    x = 271,865.17

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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.