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Finding the Fourth Proportional to 471,699.13, 650,936.37 and 256,835.29

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Solution

The fourth proportional to 471,699.13, 650,936.37 and 256,835.29 is: 354,428.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,699.13 : 650,936.37 = 256,835.29 : x
  2. Step 2: Convert to fraction form
    471,699.13/650,936.37 = 256,835.29/x
  3. Step 3: Cross multiply
    471,699.13x = 650,936.37 × 256,835.29
  4. Step 4: Simplify right side
    471,699.13x = 167,183,431,360.50
  5. Step 5: Solve for x
    x = 167,183,431,360.50/471,699.13
  6. Step 6: Final answer
    x = 354,428.11

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Why These Related Problems?

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