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Finding the Fourth Proportional to 384,201.51, 576,237.24 and 140,992.53

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Solution

The fourth proportional to 384,201.51, 576,237.24 and 140,992.53 is: 211,464.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,201.51 : 576,237.24 = 140,992.53 : x
  2. Step 2: Convert to fraction form
    384,201.51/576,237.24 = 140,992.53/x
  3. Step 3: Cross multiply
    384,201.51x = 576,237.24 × 140,992.53
  4. Step 4: Simplify right side
    384,201.51x = 81,245,146,347.82
  5. Step 5: Solve for x
    x = 81,245,146,347.82/384,201.51
  6. Step 6: Final answer
    x = 211,464.93

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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.