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Finding the Fourth Proportional to 329,099.82, 493,668.12 and 92,424

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Solution

The fourth proportional to 329,099.82, 493,668.12 and 92,424 is: 138,641.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,099.82 : 493,668.12 = 92,424 : x
  2. Step 2: Convert to fraction form
    329,099.82/493,668.12 = 92,424/x
  3. Step 3: Cross multiply
    329,099.82x = 493,668.12 × 92,424
  4. Step 4: Simplify right side
    329,099.82x = 45,626,782,322.88
  5. Step 5: Solve for x
    x = 45,626,782,322.88/329,099.82
  6. Step 6: Final answer
    x = 138,641.16

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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.