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Finding the Fourth Proportional to 408,141.80, 612,212.70 and 295,584.20

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Solution

The fourth proportional to 408,141.80, 612,212.70 and 295,584.20 is: 443,376.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,141.80 : 612,212.70 = 295,584.20 : x
  2. Step 2: Convert to fraction form
    408,141.80/612,212.70 = 295,584.20/x
  3. Step 3: Cross multiply
    408,141.80x = 612,212.70 × 295,584.20
  4. Step 4: Simplify right side
    408,141.80x = 180,960,401,159.34
  5. Step 5: Solve for x
    x = 180,960,401,159.34/408,141.80
  6. Step 6: Final answer
    x = 443,376.30

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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.