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Finding the Fourth Proportional to 827,004.60, 1,238,174.10 and 803,676.60

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Solution

The fourth proportional to 827,004.60, 1,238,174.10 and 803,676.60 is: 1,203,247.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,004.60 : 1,238,174.10 = 803,676.60 : x
  2. Step 2: Convert to fraction form
    827,004.60/1,238,174.10 = 803,676.60/x
  3. Step 3: Cross multiply
    827,004.60x = 1,238,174.10 × 803,676.60
  4. Step 4: Simplify right side
    827,004.60x = 995,091,550,896.06
  5. Step 5: Solve for x
    x = 995,091,550,896.06/827,004.60
  6. Step 6: Final answer
    x = 1,203,247.90

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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.