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Finding the Fourth Proportional to 354,916, 532,111.56 and 214,643.44

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Solution

The fourth proportional to 354,916, 532,111.56 and 214,643.44 is: 321,806.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,916 : 532,111.56 = 214,643.44 : x
  2. Step 2: Convert to fraction form
    354,916/532,111.56 = 214,643.44/x
  3. Step 3: Cross multiply
    354,916x = 532,111.56 × 214,643.44
  4. Step 4: Simplify right side
    354,916x = 114,214,255,702.17
  5. Step 5: Solve for x
    x = 114,214,255,702.17/354,916
  6. Step 6: Final answer
    x = 321,806.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.