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Finding the Fourth Proportional to 379,431, 523,702.08 and 218,379.06

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Solution

The fourth proportional to 379,431, 523,702.08 and 218,379.06 is: 301,413.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,431 : 523,702.08 = 218,379.06 : x
  2. Step 2: Convert to fraction form
    379,431/523,702.08 = 218,379.06/x
  3. Step 3: Cross multiply
    379,431x = 523,702.08 × 218,379.06
  4. Step 4: Simplify right side
    379,431x = 114,365,567,950.45
  5. Step 5: Solve for x
    x = 114,365,567,950.45/379,431
  6. Step 6: Final answer
    x = 301,413.35

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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.