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Finding the Fourth Proportional to 419,220.94, 578,537.01 and 228,237.58

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Solution

The fourth proportional to 419,220.94, 578,537.01 and 228,237.58 is: 314,974.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,220.94 : 578,537.01 = 228,237.58 : x
  2. Step 2: Convert to fraction form
    419,220.94/578,537.01 = 228,237.58/x
  3. Step 3: Cross multiply
    419,220.94x = 578,537.01 × 228,237.58
  4. Step 4: Simplify right side
    419,220.94x = 132,043,887,102.84
  5. Step 5: Solve for x
    x = 132,043,887,102.84/419,220.94
  6. Step 6: Final answer
    x = 314,974.46

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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.