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Finding the Fourth Proportional to 419,130.72, 578,413.44 and 228,156.84

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Solution

The fourth proportional to 419,130.72, 578,413.44 and 228,156.84 is: 314,863.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,130.72 : 578,413.44 = 228,156.84 : x
  2. Step 2: Convert to fraction form
    419,130.72/578,413.44 = 228,156.84/x
  3. Step 3: Cross multiply
    419,130.72x = 578,413.44 × 228,156.84
  4. Step 4: Simplify right side
    419,130.72x = 131,968,982,683.93
  5. Step 5: Solve for x
    x = 131,968,982,683.93/419,130.72
  6. Step 6: Final answer
    x = 314,863.54

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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.