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Finding the Fourth Proportional to 256,783.72, 385,549.46 and 182,299.36

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Solution

The fourth proportional to 256,783.72, 385,549.46 and 182,299.36 is: 273,714.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,783.72 : 385,549.46 = 182,299.36 : x
  2. Step 2: Convert to fraction form
    256,783.72/385,549.46 = 182,299.36/x
  3. Step 3: Cross multiply
    256,783.72x = 385,549.46 × 182,299.36
  4. Step 4: Simplify right side
    256,783.72x = 70,285,416,967.10
  5. Step 5: Solve for x
    x = 70,285,416,967.10/256,783.72
  6. Step 6: Final answer
    x = 273,714.46

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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.