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Finding the Fourth Proportional to 384,739.59, 577,138.39 and 114,846.41

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Solution

The fourth proportional to 384,739.59, 577,138.39 and 114,846.41 is: 172,278.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,739.59 : 577,138.39 = 114,846.41 : x
  2. Step 2: Convert to fraction form
    384,739.59/577,138.39 = 114,846.41/x
  3. Step 3: Cross multiply
    384,739.59x = 577,138.39 × 114,846.41
  4. Step 4: Simplify right side
    384,739.59x = 66,282,268,704.76
  5. Step 5: Solve for x
    x = 66,282,268,704.76/384,739.59
  6. Step 6: Final answer
    x = 172,278.27

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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.