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Finding the Fourth Proportional to 431,251.52, 647,002 and 178,485.28

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Solution

The fourth proportional to 431,251.52, 647,002 and 178,485.28 is: 267,779.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,251.52 : 647,002 = 178,485.28 : x
  2. Step 2: Convert to fraction form
    431,251.52/647,002 = 178,485.28/x
  3. Step 3: Cross multiply
    431,251.52x = 647,002 × 178,485.28
  4. Step 4: Simplify right side
    431,251.52x = 115,480,333,130.56
  5. Step 5: Solve for x
    x = 115,480,333,130.56/431,251.52
  6. Step 6: Final answer
    x = 267,779.54

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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.