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Finding the Fourth Proportional to 419,227.95, 578,533.78 and 228,240.89

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Solution

The fourth proportional to 419,227.95, 578,533.78 and 228,240.89 is: 314,971.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,227.95 : 578,533.78 = 228,240.89 : x
  2. Step 2: Convert to fraction form
    419,227.95/578,533.78 = 228,240.89/x
  3. Step 3: Cross multiply
    419,227.95x = 578,533.78 × 228,240.89
  4. Step 4: Simplify right side
    419,227.95x = 132,045,061,949.60
  5. Step 5: Solve for x
    x = 132,045,061,949.60/419,227.95
  6. Step 6: Final answer
    x = 314,971.99

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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.