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Finding the Fourth Proportional to 410,076.60, 614,423.70 and 199,260.60

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Solution

The fourth proportional to 410,076.60, 614,423.70 and 199,260.60 is: 298,555.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,076.60 : 614,423.70 = 199,260.60 : x
  2. Step 2: Convert to fraction form
    410,076.60/614,423.70 = 199,260.60/x
  3. Step 3: Cross multiply
    410,076.60x = 614,423.70 × 199,260.60
  4. Step 4: Simplify right side
    410,076.60x = 122,430,435,116.22
  5. Step 5: Solve for x
    x = 122,430,435,116.22/410,076.60
  6. Step 6: Final answer
    x = 298,555.04

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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.