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Finding the Fourth Proportional to 296,942.63, 445,488.20 and 86,580.56

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Solution

The fourth proportional to 296,942.63, 445,488.20 and 86,580.56 is: 129,892.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,942.63 : 445,488.20 = 86,580.56 : x
  2. Step 2: Convert to fraction form
    296,942.63/445,488.20 = 86,580.56/x
  3. Step 3: Cross multiply
    296,942.63x = 445,488.20 × 86,580.56
  4. Step 4: Simplify right side
    296,942.63x = 38,570,619,321.90
  5. Step 5: Solve for x
    x = 38,570,619,321.90/296,942.63
  6. Step 6: Final answer
    x = 129,892.50

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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.