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Finding the Fourth Proportional to 308,049.12, 462,885.84 and 165,999.96

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Solution

The fourth proportional to 308,049.12, 462,885.84 and 165,999.96 is: 249,437.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,049.12 : 462,885.84 = 165,999.96 : x
  2. Step 2: Convert to fraction form
    308,049.12/462,885.84 = 165,999.96/x
  3. Step 3: Cross multiply
    308,049.12x = 462,885.84 × 165,999.96
  4. Step 4: Simplify right side
    308,049.12x = 76,839,030,924.57
  5. Step 5: Solve for x
    x = 76,839,030,924.57/308,049.12
  6. Step 6: Final answer
    x = 249,437.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.