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Finding the Fourth Proportional to 419,723.59, 579,201.69 and 228,732.88

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Solution

The fourth proportional to 419,723.59, 579,201.69 and 228,732.88 is: 315,642.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,723.59 : 579,201.69 = 228,732.88 : x
  2. Step 2: Convert to fraction form
    419,723.59/579,201.69 = 228,732.88/x
  3. Step 3: Cross multiply
    419,723.59x = 579,201.69 × 228,732.88
  4. Step 4: Simplify right side
    419,723.59x = 132,482,470,654.57
  5. Step 5: Solve for x
    x = 132,482,470,654.57/419,723.59
  6. Step 6: Final answer
    x = 315,642.18

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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.