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Finding the Fourth Proportional to 409,967.70, 614,951.55 and 394,221.30

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Solution

The fourth proportional to 409,967.70, 614,951.55 and 394,221.30 is: 591,331.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,967.70 : 614,951.55 = 394,221.30 : x
  2. Step 2: Convert to fraction form
    409,967.70/614,951.55 = 394,221.30/x
  3. Step 3: Cross multiply
    409,967.70x = 614,951.55 × 394,221.30
  4. Step 4: Simplify right side
    409,967.70x = 242,426,999,478.02
  5. Step 5: Solve for x
    x = 242,426,999,478.02/409,967.70
  6. Step 6: Final answer
    x = 591,331.95

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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.