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Finding the Fourth Proportional to 419,159.68, 578,446.40 and 228,179.04

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Solution

The fourth proportional to 419,159.68, 578,446.40 and 228,179.04 is: 314,890.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,159.68 : 578,446.40 = 228,179.04 : x
  2. Step 2: Convert to fraction form
    419,159.68/578,446.40 = 228,179.04/x
  3. Step 3: Cross multiply
    419,159.68x = 578,446.40 × 228,179.04
  4. Step 4: Simplify right side
    419,159.68x = 131,989,344,243.46
  5. Step 5: Solve for x
    x = 131,989,344,243.46/419,159.68
  6. Step 6: Final answer
    x = 314,890.36

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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.