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Finding the Fourth Proportional to 419,156.16, 578,435.57 and 228,170.98

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Solution

The fourth proportional to 419,156.16, 578,435.57 and 228,170.98 is: 314,875.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,156.16 : 578,435.57 = 228,170.98 : x
  2. Step 2: Convert to fraction form
    419,156.16/578,435.57 = 228,170.98/x
  3. Step 3: Cross multiply
    419,156.16x = 578,435.57 × 228,170.98
  4. Step 4: Simplify right side
    419,156.16x = 131,982,211,311.59
  5. Step 5: Solve for x
    x = 131,982,211,311.59/419,156.16
  6. Step 6: Final answer
    x = 314,875.99

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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.