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Finding the Fourth Proportional to 322,770.06, 445,742.10 and 265,972.14

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Solution

The fourth proportional to 322,770.06, 445,742.10 and 265,972.14 is: 367,304.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,770.06 : 445,742.10 = 265,972.14 : x
  2. Step 2: Convert to fraction form
    322,770.06/445,742.10 = 265,972.14/x
  3. Step 3: Cross multiply
    322,770.06x = 445,742.10 × 265,972.14
  4. Step 4: Simplify right side
    322,770.06x = 118,554,980,225.09
  5. Step 5: Solve for x
    x = 118,554,980,225.09/322,770.06
  6. Step 6: Final answer
    x = 367,304.76

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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.