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Finding the Fourth Proportional to 329,090.83, 493,729.19 and 92,435.56

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Solution

The fourth proportional to 329,090.83, 493,729.19 and 92,435.56 is: 138,679.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,090.83 : 493,729.19 = 92,435.56 : x
  2. Step 2: Convert to fraction form
    329,090.83/493,729.19 = 92,435.56/x
  3. Step 3: Cross multiply
    329,090.83x = 493,729.19 × 92,435.56
  4. Step 4: Simplify right side
    329,090.83x = 45,638,134,166.00
  5. Step 5: Solve for x
    x = 45,638,134,166.00/329,090.83
  6. Step 6: Final answer
    x = 138,679.45

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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.