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Finding the Fourth Proportional to 419,714.34, 579,188.93 and 228,723.63

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Solution

The fourth proportional to 419,714.34, 579,188.93 and 228,723.63 is: 315,629.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,714.34 : 579,188.93 = 228,723.63 : x
  2. Step 2: Convert to fraction form
    419,714.34/579,188.93 = 228,723.63/x
  3. Step 3: Cross multiply
    419,714.34x = 579,188.93 × 228,723.63
  4. Step 4: Simplify right side
    419,714.34x = 132,474,193,381.80
  5. Step 5: Solve for x
    x = 132,474,193,381.80/419,714.34
  6. Step 6: Final answer
    x = 315,629.42

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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.