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Finding the Fourth Proportional to 329,223.47, 493,723.41 and 92,511.11

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Solution

The fourth proportional to 329,223.47, 493,723.41 and 92,511.11 is: 138,735.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,223.47 : 493,723.41 = 92,511.11 : x
  2. Step 2: Convert to fraction form
    329,223.47/493,723.41 = 92,511.11/x
  3. Step 3: Cross multiply
    329,223.47x = 493,723.41 × 92,511.11
  4. Step 4: Simplify right side
    329,223.47x = 45,674,900,692.09
  5. Step 5: Solve for x
    x = 45,674,900,692.09/329,223.47
  6. Step 6: Final answer
    x = 138,735.25

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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.