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Finding the Fourth Proportional to 682,659, 1,023,988.50 and 184,023

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Solution

The fourth proportional to 682,659, 1,023,988.50 and 184,023 is: 276,034.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,659 : 1,023,988.50 = 184,023 : x
  2. Step 2: Convert to fraction form
    682,659/1,023,988.50 = 184,023/x
  3. Step 3: Cross multiply
    682,659x = 1,023,988.50 × 184,023
  4. Step 4: Simplify right side
    682,659x = 188,437,435,735.50
  5. Step 5: Solve for x
    x = 188,437,435,735.50/682,659
  6. Step 6: Final answer
    x = 276,034.50

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Why These Related Problems?

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