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Finding the Fourth Proportional to 410,197.90, 614,312.70 and 199,589.80

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Solution

The fourth proportional to 410,197.90, 614,312.70 and 199,589.80 is: 298,905.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,197.90 : 614,312.70 = 199,589.80 : x
  2. Step 2: Convert to fraction form
    410,197.90/614,312.70 = 199,589.80/x
  3. Step 3: Cross multiply
    410,197.90x = 614,312.70 × 199,589.80
  4. Step 4: Simplify right side
    410,197.90x = 122,610,548,930.46
  5. Step 5: Solve for x
    x = 122,610,548,930.46/410,197.90
  6. Step 6: Final answer
    x = 298,905.84

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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.