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Finding the Fourth Proportional to 331,460.92, 496,746.42 and 181,474.84

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Solution

The fourth proportional to 331,460.92, 496,746.42 and 181,474.84 is: 271,968.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,460.92 : 496,746.42 = 181,474.84 : x
  2. Step 2: Convert to fraction form
    331,460.92/496,746.42 = 181,474.84/x
  3. Step 3: Cross multiply
    331,460.92x = 496,746.42 × 181,474.84
  4. Step 4: Simplify right side
    331,460.92x = 90,146,977,090.07
  5. Step 5: Solve for x
    x = 90,146,977,090.07/331,460.92
  6. Step 6: Final answer
    x = 271,968.64

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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.