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Finding the Fourth Proportional to 431,966.96, 647,906.69 and 116,455.76

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Solution

The fourth proportional to 431,966.96, 647,906.69 and 116,455.76 is: 174,671.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,966.96 : 647,906.69 = 116,455.76 : x
  2. Step 2: Convert to fraction form
    431,966.96/647,906.69 = 116,455.76/x
  3. Step 3: Cross multiply
    431,966.96x = 647,906.69 × 116,455.76
  4. Step 4: Simplify right side
    431,966.96x = 75,452,462,171.22
  5. Step 5: Solve for x
    x = 75,452,462,171.22/431,966.96
  6. Step 6: Final answer
    x = 174,671.84

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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.