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Finding the Fourth Proportional to 682,983.60, 1,024,475.40 and 682,983.60

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Solution

The fourth proportional to 682,983.60, 1,024,475.40 and 682,983.60 is: 1,024,475.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,983.60 : 1,024,475.40 = 682,983.60 : x
  2. Step 2: Convert to fraction form
    682,983.60/1,024,475.40 = 682,983.60/x
  3. Step 3: Cross multiply
    682,983.60x = 1,024,475.40 × 682,983.60
  4. Step 4: Simplify right side
    682,983.60x = 699,699,896,803.44
  5. Step 5: Solve for x
    x = 699,699,896,803.44/682,983.60
  6. Step 6: Final answer
    x = 1,024,475.40

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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.