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Finding the Fourth Proportional to 469,676.48, 703,709.48 and 315,513.54

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Solution

The fourth proportional to 469,676.48, 703,709.48 and 315,513.54 is: 472,729.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,676.48 : 703,709.48 = 315,513.54 : x
  2. Step 2: Convert to fraction form
    469,676.48/703,709.48 = 315,513.54/x
  3. Step 3: Cross multiply
    469,676.48x = 703,709.48 × 315,513.54
  4. Step 4: Simplify right side
    469,676.48x = 222,029,867,588.79
  5. Step 5: Solve for x
    x = 222,029,867,588.79/469,676.48
  6. Step 6: Final answer
    x = 472,729.38

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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.