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Finding the Fourth Proportional to 419,723.32, 579,225.20 and 228,744.76

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Solution

The fourth proportional to 419,723.32, 579,225.20 and 228,744.76 is: 315,671.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,723.32 : 579,225.20 = 228,744.76 : x
  2. Step 2: Convert to fraction form
    419,723.32/579,225.20 = 228,744.76/x
  3. Step 3: Cross multiply
    419,723.32x = 579,225.20 × 228,744.76
  4. Step 4: Simplify right side
    419,723.32x = 132,494,729,359.95
  5. Step 5: Solve for x
    x = 132,494,729,359.95/419,723.32
  6. Step 6: Final answer
    x = 315,671.59

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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.