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Finding the Fourth Proportional to 329,284.78, 493,869.76 and 92,571.19

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Solution

The fourth proportional to 329,284.78, 493,869.76 and 92,571.19 is: 138,840.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,284.78 : 493,869.76 = 92,571.19 : x
  2. Step 2: Convert to fraction form
    329,284.78/493,869.76 = 92,571.19/x
  3. Step 3: Cross multiply
    329,284.78x = 493,869.76 × 92,571.19
  4. Step 4: Simplify right side
    329,284.78x = 45,718,109,922.11
  5. Step 5: Solve for x
    x = 45,718,109,922.11/329,284.78
  6. Step 6: Final answer
    x = 138,840.64

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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.