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Finding the Fourth Proportional to 329,071.70, 493,607.55 and 92,422.10

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Solution

The fourth proportional to 329,071.70, 493,607.55 and 92,422.10 is: 138,633.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,071.70 : 493,607.55 = 92,422.10 : x
  2. Step 2: Convert to fraction form
    329,071.70/493,607.55 = 92,422.10/x
  3. Step 3: Cross multiply
    329,071.70x = 493,607.55 × 92,422.10
  4. Step 4: Simplify right side
    329,071.70x = 45,620,246,346.86
  5. Step 5: Solve for x
    x = 45,620,246,346.86/329,071.70
  6. Step 6: Final answer
    x = 138,633.15

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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.