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Finding the Fourth Proportional to 682,253.06, 941,768.62 and 512,978.90

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Solution

The fourth proportional to 682,253.06, 941,768.62 and 512,978.90 is: 708,105.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,253.06 : 941,768.62 = 512,978.90 : x
  2. Step 2: Convert to fraction form
    682,253.06/941,768.62 = 512,978.90/x
  3. Step 3: Cross multiply
    682,253.06x = 941,768.62 × 512,978.90
  4. Step 4: Simplify right side
    682,253.06x = 483,107,430,742.12
  5. Step 5: Solve for x
    x = 483,107,430,742.12/682,253.06
  6. Step 6: Final answer
    x = 708,105.92

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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.