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Finding the Fourth Proportional to 410,234.65, 566,122.60 and 228,944.65

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Solution

The fourth proportional to 410,234.65, 566,122.60 and 228,944.65 is: 315,942.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,234.65 : 566,122.60 = 228,944.65 : x
  2. Step 2: Convert to fraction form
    410,234.65/566,122.60 = 228,944.65/x
  3. Step 3: Cross multiply
    410,234.65x = 566,122.60 × 228,944.65
  4. Step 4: Simplify right side
    410,234.65x = 129,610,740,514.09
  5. Step 5: Solve for x
    x = 129,610,740,514.09/410,234.65
  6. Step 6: Final answer
    x = 315,942.94

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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.