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Finding the Fourth Proportional to 419,385.12, 578,733.44 and 228,398.96

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Solution

The fourth proportional to 419,385.12, 578,733.44 and 228,398.96 is: 315,180.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,385.12 : 578,733.44 = 228,398.96 : x
  2. Step 2: Convert to fraction form
    419,385.12/578,733.44 = 228,398.96/x
  3. Step 3: Cross multiply
    419,385.12x = 578,733.44 × 228,398.96
  4. Step 4: Simplify right side
    419,385.12x = 132,182,115,813.22
  5. Step 5: Solve for x
    x = 132,182,115,813.22/419,385.12
  6. Step 6: Final answer
    x = 315,180.75

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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.