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Finding the Fourth Proportional to 419,298.30, 578,629.20 and 228,311.23

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Solution

The fourth proportional to 419,298.30, 578,629.20 and 228,311.23 is: 315,068.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,298.30 : 578,629.20 = 228,311.23 : x
  2. Step 2: Convert to fraction form
    419,298.30/578,629.20 = 228,311.23/x
  3. Step 3: Cross multiply
    419,298.30x = 578,629.20 × 228,311.23
  4. Step 4: Simplify right side
    419,298.30x = 132,107,544,365.92
  5. Step 5: Solve for x
    x = 132,107,544,365.92/419,298.30
  6. Step 6: Final answer
    x = 315,068.16

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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.