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Finding the Fourth Proportional to 412,004.40, 617,423.40 and 361,849.20

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Solution

The fourth proportional to 412,004.40, 617,423.40 and 361,849.20 is: 542,261.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,004.40 : 617,423.40 = 361,849.20 : x
  2. Step 2: Convert to fraction form
    412,004.40/617,423.40 = 361,849.20/x
  3. Step 3: Cross multiply
    412,004.40x = 617,423.40 × 361,849.20
  4. Step 4: Simplify right side
    412,004.40x = 223,414,163,351.28
  5. Step 5: Solve for x
    x = 223,414,163,351.28/412,004.40
  6. Step 6: Final answer
    x = 542,261.60

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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.