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Finding the Fourth Proportional to 463,481.40, 694,703.70 and 263,897.40

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Solution

The fourth proportional to 463,481.40, 694,703.70 and 263,897.40 is: 395,550.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,481.40 : 694,703.70 = 263,897.40 : x
  2. Step 2: Convert to fraction form
    463,481.40/694,703.70 = 263,897.40/x
  3. Step 3: Cross multiply
    463,481.40x = 694,703.70 × 263,897.40
  4. Step 4: Simplify right side
    463,481.40x = 183,330,500,200.38
  5. Step 5: Solve for x
    x = 183,330,500,200.38/463,481.40
  6. Step 6: Final answer
    x = 395,550.93

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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.