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Finding the Fourth Proportional to 827,163.10, 1,241,911.05 and 512,235.10

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Solution

The fourth proportional to 827,163.10, 1,241,911.05 and 512,235.10 is: 769,074.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,163.10 : 1,241,911.05 = 512,235.10 : x
  2. Step 2: Convert to fraction form
    827,163.10/1,241,911.05 = 512,235.10/x
  3. Step 3: Cross multiply
    827,163.10x = 1,241,911.05 × 512,235.10
  4. Step 4: Simplify right side
    827,163.10x = 636,150,430,887.86
  5. Step 5: Solve for x
    x = 636,150,430,887.86/827,163.10
  6. Step 6: Final answer
    x = 769,074.96

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Double scale
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1.5x scale

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.