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Finding the Fourth Proportional to 293,714.24, 405,295.19 and 172,848.32

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Solution

The fourth proportional to 293,714.24, 405,295.19 and 172,848.32 is: 238,512.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,714.24 : 405,295.19 = 172,848.32 : x
  2. Step 2: Convert to fraction form
    293,714.24/405,295.19 = 172,848.32/x
  3. Step 3: Cross multiply
    293,714.24x = 405,295.19 × 172,848.32
  4. Step 4: Simplify right side
    293,714.24x = 70,054,589,804.86
  5. Step 5: Solve for x
    x = 70,054,589,804.86/293,714.24
  6. Step 6: Final answer
    x = 238,512.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.