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Finding the Fourth Proportional to 256,837.14, 384,733.47 and 209,620.50

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Solution

The fourth proportional to 256,837.14, 384,733.47 and 209,620.50 is: 314,004.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,837.14 : 384,733.47 = 209,620.50 : x
  2. Step 2: Convert to fraction form
    256,837.14/384,733.47 = 209,620.50/x
  3. Step 3: Cross multiply
    256,837.14x = 384,733.47 × 209,620.50
  4. Step 4: Simplify right side
    256,837.14x = 80,648,022,348.14
  5. Step 5: Solve for x
    x = 80,648,022,348.14/256,837.14
  6. Step 6: Final answer
    x = 314,004.52

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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.