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Finding the Fourth Proportional to 419,205.38, 578,504.78 and 228,220.13

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Solution

The fourth proportional to 419,205.38, 578,504.78 and 228,220.13 is: 314,944.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,205.38 : 578,504.78 = 228,220.13 : x
  2. Step 2: Convert to fraction form
    419,205.38/578,504.78 = 228,220.13/x
  3. Step 3: Cross multiply
    419,205.38x = 578,504.78 × 228,220.13
  4. Step 4: Simplify right side
    419,205.38x = 132,026,438,541.95
  5. Step 5: Solve for x
    x = 132,026,438,541.95/419,205.38
  6. Step 6: Final answer
    x = 314,944.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.