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Finding the Fourth Proportional to 402,415.20, 603,622.80 and 269,445.60

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Solution

The fourth proportional to 402,415.20, 603,622.80 and 269,445.60 is: 404,168.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,415.20 : 603,622.80 = 269,445.60 : x
  2. Step 2: Convert to fraction form
    402,415.20/603,622.80 = 269,445.60/x
  3. Step 3: Cross multiply
    402,415.20x = 603,622.80 × 269,445.60
  4. Step 4: Simplify right side
    402,415.20x = 162,643,507,519.68
  5. Step 5: Solve for x
    x = 162,643,507,519.68/402,415.20
  6. Step 6: Final answer
    x = 404,168.40

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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.