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Finding the Fourth Proportional to 419,821.06, 579,335.88 and 228,830.26

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Solution

The fourth proportional to 419,821.06, 579,335.88 and 228,830.26 is: 315,776.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,821.06 : 579,335.88 = 228,830.26 : x
  2. Step 2: Convert to fraction form
    419,821.06/579,335.88 = 228,830.26/x
  3. Step 3: Cross multiply
    419,821.06x = 579,335.88 × 228,830.26
  4. Step 4: Simplify right side
    419,821.06x = 132,569,580,047.73
  5. Step 5: Solve for x
    x = 132,569,580,047.73/419,821.06
  6. Step 6: Final answer
    x = 315,776.39

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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.