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Finding the Fourth Proportional to 419,199.52, 578,477.19 and 228,213.58

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Solution

The fourth proportional to 419,199.52, 578,477.19 and 228,213.58 is: 314,924.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,199.52 : 578,477.19 = 228,213.58 : x
  2. Step 2: Convert to fraction form
    419,199.52/578,477.19 = 228,213.58/x
  3. Step 3: Cross multiply
    419,199.52x = 578,477.19 × 228,213.58
  4. Step 4: Simplify right side
    419,199.52x = 132,016,350,478.24
  5. Step 5: Solve for x
    x = 132,016,350,478.24/419,199.52
  6. Step 6: Final answer
    x = 314,924.86

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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.