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Finding the Fourth Proportional to 256,473.20, 384,751.92 and 78,980.24

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Solution

The fourth proportional to 256,473.20, 384,751.92 and 78,980.24 is: 118,483.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,473.20 : 384,751.92 = 78,980.24 : x
  2. Step 2: Convert to fraction form
    256,473.20/384,751.92 = 78,980.24/x
  3. Step 3: Cross multiply
    256,473.20x = 384,751.92 × 78,980.24
  4. Step 4: Simplify right side
    256,473.20x = 30,387,798,982.06
  5. Step 5: Solve for x
    x = 30,387,798,982.06/256,473.20
  6. Step 6: Final answer
    x = 118,483.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.