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Finding the Fourth Proportional to 385,111.63, 531,413.16 and 213,002.26

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Solution

The fourth proportional to 385,111.63, 531,413.16 and 213,002.26 is: 293,920.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,111.63 : 531,413.16 = 213,002.26 : x
  2. Step 2: Convert to fraction form
    385,111.63/531,413.16 = 213,002.26/x
  3. Step 3: Cross multiply
    385,111.63x = 531,413.16 × 213,002.26
  4. Step 4: Simplify right side
    385,111.63x = 113,192,201,946.45
  5. Step 5: Solve for x
    x = 113,192,201,946.45/385,111.63
  6. Step 6: Final answer
    x = 293,920.50

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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.