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Finding the Fourth Proportional to 419,101.70, 578,328.09 and 228,110.90

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Solution

The fourth proportional to 419,101.70, 578,328.09 and 228,110.90 is: 314,775.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,101.70 : 578,328.09 = 228,110.90 : x
  2. Step 2: Convert to fraction form
    419,101.70/578,328.09 = 228,110.90/x
  3. Step 3: Cross multiply
    419,101.70x = 578,328.09 × 228,110.90
  4. Step 4: Simplify right side
    419,101.70x = 131,922,941,105.18
  5. Step 5: Solve for x
    x = 131,922,941,105.18/419,101.70
  6. Step 6: Final answer
    x = 314,775.49

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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.