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Finding the Fourth Proportional to 331,468.21, 457,411.44 and 193,659.94

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Solution

The fourth proportional to 331,468.21, 457,411.44 and 193,659.94 is: 267,242.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,468.21 : 457,411.44 = 193,659.94 : x
  2. Step 2: Convert to fraction form
    331,468.21/457,411.44 = 193,659.94/x
  3. Step 3: Cross multiply
    331,468.21x = 457,411.44 × 193,659.94
  4. Step 4: Simplify right side
    331,468.21x = 88,582,272,025.71
  5. Step 5: Solve for x
    x = 88,582,272,025.71/331,468.21
  6. Step 6: Final answer
    x = 267,242.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.