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Finding the Fourth Proportional to 431,852.64, 647,777.88 and 116,309.88

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Solution

The fourth proportional to 431,852.64, 647,777.88 and 116,309.88 is: 174,464.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,852.64 : 647,777.88 = 116,309.88 : x
  2. Step 2: Convert to fraction form
    431,852.64/647,777.88 = 116,309.88/x
  3. Step 3: Cross multiply
    431,852.64x = 647,777.88 × 116,309.88
  4. Step 4: Simplify right side
    431,852.64x = 75,342,967,489.45
  5. Step 5: Solve for x
    x = 75,342,967,489.45/431,852.64
  6. Step 6: Final answer
    x = 174,464.53

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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.