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Finding the Fourth Proportional to 419,153.06, 578,431.29 and 228,167.89

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Solution

The fourth proportional to 419,153.06, 578,431.29 and 228,167.89 is: 314,871.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,153.06 : 578,431.29 = 228,167.89 : x
  2. Step 2: Convert to fraction form
    419,153.06/578,431.29 = 228,167.89/x
  3. Step 3: Cross multiply
    419,153.06x = 578,431.29 × 228,167.89
  4. Step 4: Simplify right side
    419,153.06x = 131,979,446,358.83
  5. Step 5: Solve for x
    x = 131,979,446,358.83/419,153.06
  6. Step 6: Final answer
    x = 314,871.72

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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.