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Finding the Fourth Proportional to 354,918, 532,114.56 and 214,645.44

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Solution

The fourth proportional to 354,918, 532,114.56 and 214,645.44 is: 321,809.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,918 : 532,114.56 = 214,645.44 : x
  2. Step 2: Convert to fraction form
    354,918/532,114.56 = 214,645.44/x
  3. Step 3: Cross multiply
    354,918x = 532,114.56 × 214,645.44
  4. Step 4: Simplify right side
    354,918x = 114,215,963,861.61
  5. Step 5: Solve for x
    x = 114,215,963,861.61/354,918
  6. Step 6: Final answer
    x = 321,809.44

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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.