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Finding the Fourth Proportional to 354,910.50, 532,103.31 and 214,637.94

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Solution

The fourth proportional to 354,910.50, 532,103.31 and 214,637.94 is: 321,798.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,910.50 : 532,103.31 = 214,637.94 : x
  2. Step 2: Convert to fraction form
    354,910.50/532,103.31 = 214,637.94/x
  3. Step 3: Cross multiply
    354,910.50x = 532,103.31 × 214,637.94
  4. Step 4: Simplify right side
    354,910.50x = 114,209,558,325.58
  5. Step 5: Solve for x
    x = 114,209,558,325.58/354,910.50
  6. Step 6: Final answer
    x = 321,798.20

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Why These Related Problems?

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