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Finding the Fourth Proportional to 409,591.44, 614,124.72 and 199,114.56

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Solution

The fourth proportional to 409,591.44, 614,124.72 and 199,114.56 is: 298,544.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,591.44 : 614,124.72 = 199,114.56 : x
  2. Step 2: Convert to fraction form
    409,591.44/614,124.72 = 199,114.56/x
  3. Step 3: Cross multiply
    409,591.44x = 614,124.72 × 199,114.56
  4. Step 4: Simplify right side
    409,591.44x = 122,281,173,407.92
  5. Step 5: Solve for x
    x = 122,281,173,407.92/409,591.44
  6. Step 6: Final answer
    x = 298,544.26

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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.