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Finding the Fourth Proportional to 419,156.07, 578,435.45 and 228,170.90

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Solution

The fourth proportional to 419,156.07, 578,435.45 and 228,170.90 is: 314,875.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,156.07 : 578,435.45 = 228,170.90 : x
  2. Step 2: Convert to fraction form
    419,156.07/578,435.45 = 228,170.90/x
  3. Step 3: Cross multiply
    419,156.07x = 578,435.45 × 228,170.90
  4. Step 4: Simplify right side
    419,156.07x = 131,982,133,185.37
  5. Step 5: Solve for x
    x = 131,982,133,185.37/419,156.07
  6. Step 6: Final answer
    x = 314,875.87

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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.