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Finding the Fourth Proportional to 511,830.50, 767,748.85 and 227,454.21

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Solution

The fourth proportional to 511,830.50, 767,748.85 and 227,454.21 is: 341,182.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,830.50 : 767,748.85 = 227,454.21 : x
  2. Step 2: Convert to fraction form
    511,830.50/767,748.85 = 227,454.21/x
  3. Step 3: Cross multiply
    511,830.50x = 767,748.85 × 227,454.21
  4. Step 4: Simplify right side
    511,830.50x = 174,627,707,586.52
  5. Step 5: Solve for x
    x = 174,627,707,586.52/511,830.50
  6. Step 6: Final answer
    x = 341,182.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.