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Finding the Fourth Proportional to 287,447.48, 430,844.25 and 174,879.56

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Solution

The fourth proportional to 287,447.48, 430,844.25 and 174,879.56 is: 262,120.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,447.48 : 430,844.25 = 174,879.56 : x
  2. Step 2: Convert to fraction form
    287,447.48/430,844.25 = 174,879.56/x
  3. Step 3: Cross multiply
    287,447.48x = 430,844.25 × 174,879.56
  4. Step 4: Simplify right side
    287,447.48x = 75,345,850,714.31
  5. Step 5: Solve for x
    x = 75,345,850,714.31/287,447.48
  6. Step 6: Final answer
    x = 262,120.41

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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.