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Finding the Fourth Proportional to 464,800.50, 641,424.70 and 263,596.50

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Solution

The fourth proportional to 464,800.50, 641,424.70 and 263,596.50 is: 363,763.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,800.50 : 641,424.70 = 263,596.50 : x
  2. Step 2: Convert to fraction form
    464,800.50/641,424.70 = 263,596.50/x
  3. Step 3: Cross multiply
    464,800.50x = 641,424.70 × 263,596.50
  4. Step 4: Simplify right side
    464,800.50x = 169,077,305,933.55
  5. Step 5: Solve for x
    x = 169,077,305,933.55/464,800.50
  6. Step 6: Final answer
    x = 363,763.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.