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Finding the Fourth Proportional to 509,561.70, 703,234.35 and 305,620.44

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Solution

The fourth proportional to 509,561.70, 703,234.35 and 305,620.44 is: 421,779.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,561.70 : 703,234.35 = 305,620.44 : x
  2. Step 2: Convert to fraction form
    509,561.70/703,234.35 = 305,620.44/x
  3. Step 3: Cross multiply
    509,561.70x = 703,234.35 × 305,620.44
  4. Step 4: Simplify right side
    509,561.70x = 214,922,791,470.11
  5. Step 5: Solve for x
    x = 214,922,791,470.11/509,561.70
  6. Step 6: Final answer
    x = 421,779.72

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