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Finding the Fourth Proportional to 329,090.20, 493,635.30 and 188,733.40

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Solution

The fourth proportional to 329,090.20, 493,635.30 and 188,733.40 is: 283,100.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,090.20 : 493,635.30 = 188,733.40 : x
  2. Step 2: Convert to fraction form
    329,090.20/493,635.30 = 188,733.40/x
  3. Step 3: Cross multiply
    329,090.20x = 493,635.30 × 188,733.40
  4. Step 4: Simplify right side
    329,090.20x = 93,165,468,529.02
  5. Step 5: Solve for x
    x = 93,165,468,529.02/329,090.20
  6. Step 6: Final answer
    x = 283,100.10

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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.