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Finding the Fourth Proportional to 419,140.31, 578,413.70 and 228,153.69

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Solution

The fourth proportional to 419,140.31, 578,413.70 and 228,153.69 is: 314,852.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,140.31 : 578,413.70 = 228,153.69 : x
  2. Step 2: Convert to fraction form
    419,140.31/578,413.70 = 228,153.69/x
  3. Step 3: Cross multiply
    419,140.31x = 578,413.70 × 228,153.69
  4. Step 4: Simplify right side
    419,140.31x = 131,967,220,001.55
  5. Step 5: Solve for x
    x = 131,967,220,001.55/419,140.31
  6. Step 6: Final answer
    x = 314,852.13

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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.