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Finding the Fourth Proportional to 419,503.08, 578,911.30 and 228,516.47

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Solution

The fourth proportional to 419,503.08, 578,911.30 and 228,516.47 is: 315,351.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,503.08 : 578,911.30 = 228,516.47 : x
  2. Step 2: Convert to fraction form
    419,503.08/578,911.30 = 228,516.47/x
  3. Step 3: Cross multiply
    419,503.08x = 578,911.30 × 228,516.47
  4. Step 4: Simplify right side
    419,503.08x = 132,290,769,965.96
  5. Step 5: Solve for x
    x = 132,290,769,965.96/419,503.08
  6. Step 6: Final answer
    x = 315,351.13

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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.