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Finding the Fourth Proportional to 317,538.08, 438,202.34 and 179,714.50

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Solution

The fourth proportional to 317,538.08, 438,202.34 and 179,714.50 is: 248,005.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,538.08 : 438,202.34 = 179,714.50 : x
  2. Step 2: Convert to fraction form
    317,538.08/438,202.34 = 179,714.50/x
  3. Step 3: Cross multiply
    317,538.08x = 438,202.34 × 179,714.50
  4. Step 4: Simplify right side
    317,538.08x = 78,751,314,431.93
  5. Step 5: Solve for x
    x = 78,751,314,431.93/317,538.08
  6. Step 6: Final answer
    x = 248,005.89

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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.