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Finding the Fourth Proportional to 507,950.50, 701,003.19 and 281,596.00

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Solution

The fourth proportional to 507,950.50, 701,003.19 and 281,596.00 is: 388,619.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,950.50 : 701,003.19 = 281,596.00 : x
  2. Step 2: Convert to fraction form
    507,950.50/701,003.19 = 281,596.00/x
  3. Step 3: Cross multiply
    507,950.50x = 701,003.19 × 281,596.00
  4. Step 4: Simplify right side
    507,950.50x = 197,399,696,481.88
  5. Step 5: Solve for x
    x = 197,399,696,481.88/507,950.50
  6. Step 6: Final answer
    x = 388,619.94

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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.