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Finding the Fourth Proportional to 419,731.53, 579,212.61 and 228,740.82

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Solution

The fourth proportional to 419,731.53, 579,212.61 and 228,740.82 is: 315,653.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,731.53 : 579,212.61 = 228,740.82 : x
  2. Step 2: Convert to fraction form
    419,731.53/579,212.61 = 228,740.82/x
  3. Step 3: Cross multiply
    419,731.53x = 579,212.61 × 228,740.82
  4. Step 4: Simplify right side
    419,731.53x = 132,489,567,365.74
  5. Step 5: Solve for x
    x = 132,489,567,365.74/419,731.53
  6. Step 6: Final answer
    x = 315,653.12

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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.