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Finding the Fourth Proportional to 431,966.58, 647,906.12 and 116,455.38

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Solution

The fourth proportional to 431,966.58, 647,906.12 and 116,455.38 is: 174,671.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,966.58 : 647,906.12 = 116,455.38 : x
  2. Step 2: Convert to fraction form
    431,966.58/647,906.12 = 116,455.38/x
  3. Step 3: Cross multiply
    431,966.58x = 647,906.12 × 116,455.38
  4. Step 4: Simplify right side
    431,966.58x = 75,452,153,700.06
  5. Step 5: Solve for x
    x = 75,452,153,700.06/431,966.58
  6. Step 6: Final answer
    x = 174,671.28

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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.