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Finding the Fourth Proportional to 384,326.52, 576,342.90 and 184,591.32

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Solution

The fourth proportional to 384,326.52, 576,342.90 and 184,591.32 is: 276,816.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,326.52 : 576,342.90 = 184,591.32 : x
  2. Step 2: Convert to fraction form
    384,326.52/576,342.90 = 184,591.32/x
  3. Step 3: Cross multiply
    384,326.52x = 576,342.90 × 184,591.32
  4. Step 4: Simplify right side
    384,326.52x = 106,387,896,683.63
  5. Step 5: Solve for x
    x = 106,387,896,683.63/384,326.52
  6. Step 6: Final answer
    x = 276,816.43

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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.