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Finding the Fourth Proportional to 419,726.25, 579,205.32 and 228,735.54

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Solution

The fourth proportional to 419,726.25, 579,205.32 and 228,735.54 is: 315,645.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,726.25 : 579,205.32 = 228,735.54 : x
  2. Step 2: Convert to fraction form
    419,726.25/579,205.32 = 228,735.54/x
  3. Step 3: Cross multiply
    419,726.25x = 579,205.32 × 228,735.54
  4. Step 4: Simplify right side
    419,726.25x = 132,484,841,641.07
  5. Step 5: Solve for x
    x = 132,484,841,641.07/419,726.25
  6. Step 6: Final answer
    x = 315,645.83

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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.