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Finding the Fourth Proportional to 384,067.50, 575,917.23 and 181,495.02

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Solution

The fourth proportional to 384,067.50, 575,917.23 and 181,495.02 is: 272,155.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,067.50 : 575,917.23 = 181,495.02 : x
  2. Step 2: Convert to fraction form
    384,067.50/575,917.23 = 181,495.02/x
  3. Step 3: Cross multiply
    384,067.50x = 575,917.23 × 181,495.02
  4. Step 4: Simplify right side
    384,067.50x = 104,526,109,177.20
  5. Step 5: Solve for x
    x = 104,526,109,177.20/384,067.50
  6. Step 6: Final answer
    x = 272,155.57

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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.