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Finding the Fourth Proportional to 386,466.26, 533,351.79 and 214,411.32

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Solution

The fourth proportional to 386,466.26, 533,351.79 and 214,411.32 is: 295,903.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,466.26 : 533,351.79 = 214,411.32 : x
  2. Step 2: Convert to fraction form
    386,466.26/533,351.79 = 214,411.32/x
  3. Step 3: Cross multiply
    386,466.26x = 533,351.79 × 214,411.32
  4. Step 4: Simplify right side
    386,466.26x = 114,356,661,318.26
  5. Step 5: Solve for x
    x = 114,356,661,318.26/386,466.26
  6. Step 6: Final answer
    x = 295,903.35

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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.