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Finding the Fourth Proportional to 419,170.18, 578,454.84 and 228,184.96

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Solution

The fourth proportional to 419,170.18, 578,454.84 and 228,184.96 is: 314,895.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,170.18 : 578,454.84 = 228,184.96 : x
  2. Step 2: Convert to fraction form
    419,170.18/578,454.84 = 228,184.96/x
  3. Step 3: Cross multiply
    419,170.18x = 578,454.84 × 228,184.96
  4. Step 4: Simplify right side
    419,170.18x = 131,994,694,527.21
  5. Step 5: Solve for x
    x = 131,994,694,527.21/419,170.18
  6. Step 6: Final answer
    x = 314,895.24

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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.