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Finding the Fourth Proportional to 384,774.30, 577,171.44 and 182,323.17

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Solution

The fourth proportional to 384,774.30, 577,171.44 and 182,323.17 is: 273,489.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,774.30 : 577,171.44 = 182,323.17 : x
  2. Step 2: Convert to fraction form
    384,774.30/577,171.44 = 182,323.17/x
  3. Step 3: Cross multiply
    384,774.30x = 577,171.44 × 182,323.17
  4. Step 4: Simplify right side
    384,774.30x = 105,231,726,574.27
  5. Step 5: Solve for x
    x = 105,231,726,574.27/384,774.30
  6. Step 6: Final answer
    x = 273,489.49

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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.